LCM for 90 and 396

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 90 and 396?

Answer: LCM of 90 and 396 is 1,980

(One thousand, nine hundred eighty)

Finding LCM for 90 and 396 using GCF's of these numbers

The first method to find LCM for numbers 90 and 396 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 90 and 396 is 18, so

LCM = (90 × 396) ÷ 18

LCM = 35640 ÷ 18

LCM = 1980

Finding LCM for 90 and 396 by Listing Multiples

The second method to find LCM for numbers 90 and 396 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 90: 90, 180, 270, 360, 450, 540, 630, 720, 810, 900, 990, 1080, 1170, 1260, 1350, 1440, 1530, 1620, 1710, 1800, 1890, 1980, 2070, 2160

Multiples of 396: 396, 792, 1188, 1584, 1980, 2376, 2772

So the LCM for 90 and 396 is 1980

Finding LCM for 90 and 396 by Prime Factorization

Another method to find LCM for numbers 90 and 396 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 90: 2, 3, 3, 5 (exponent form: 21, 32, 51)

All Prime Factors of 396: 2, 2, 3, 3, 11 (exponent form: 22, 32, 111)

22 × 32 × 51 × 111 = 1980

Related Calculations

See Also

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 90 and 396? (The answer is: 1980). Select the first number (e.g. '90') and the second number (e.g. '396'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

"Least Common Multiple" Calculator

Least Common Multiple of

and

LCM Table

Number 1Number 2LCM
753969900
763967524
773962772
783965148
7939631284
803967920
813963564
8239616236
8339632868
843962772
8539633660
8639617028
8739611484
88396792
8939635244
903961980
9139636036
923969108
9339612276
9439618612
9539637620
963963168
9739638412
9839619404
99396396
1003969900
10139639996
1023966732
10339640788
10439610296

FAQ

What's the Least Common Multiple (LCM) of 90 and 396?

LCM of 90 and 396 is 1,980

See Also