LCM for 90 and 198

What's the Least Common Multiple (LCM) of 90 and 198?

Answer: LCM of 90 and 198 is 990

(Nine hundred ninety)

Finding LCM for 90 and 198 using GCF's of these numbers

The first method to find LCM for numbers 90 and 198 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 90 and 198 is 18, so

LCM = (90 × 198) ÷ 18

LCM = 17820 ÷ 18

LCM = 990

Finding LCM for 90 and 198 by Listing Multiples

The second method to find LCM for numbers 90 and 198 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

Multiples of 198: 198, 396, 594, 792, 990, 1188, 1386

So the LCM for 90 and 198 is 990

Finding LCM for 90 and 198 by Prime Factorization

Another method to find LCM for numbers 90 and 198 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 198: 2, 3, 3, 11 (exponent form: 21, 32, 111)

21 × 32 × 51 × 111 = 990

LCM Table

Number 1Number 2LCM
751984950
761987524
771981386
781982574
7919815642
801987920
811981782
821988118
8319816434
841982772
8519816830
861988514
871985742
88198792
8919817622
90198
9119818018
921989108
931986138
941989306
9519818810
961983168
9719819206
981989702
99198198
1001989900
10119819998
1021983366
10319820394
10419810296

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 198? (The answer is: 990). Select the first number (e.g. '90') and the second number (e.g. '198'). 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

FAQ

What's the Least Common Multiple (LCM) of 90 and 198?

LCM of 90 and 198 is 990