LCM for 88 and 312

What's the Least Common Multiple (LCM) of 88 and 312?

Answer: LCM of 88 and 312 is 3,432

(Three thousand, four hundred thirty-two)

Finding LCM for 88 and 312 using GCF's of these numbers

The first method to find LCM for numbers 88 and 312 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 88 and 312 is 8, so

LCM = (88 × 312) ÷ 8

LCM = 27456 ÷ 8

LCM = 3432

Finding LCM for 88 and 312 by Listing Multiples

The second method to find LCM for numbers 88 and 312 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 88: 88, 176, 264, 352, 440, 528, 616, 704, 792, 880, 968, 1056, 1144, 1232, 1320, 1408, 1496, 1584, 1672, 1760, 1848, 1936, 2024, 2112, 2200, 2288, 2376, 2464, 2552, 2640, 2728, 2816, 2904, 2992, 3080, 3168, 3256, 3344, 3432, 3520, 3608

Multiples of 312: 312, 624, 936, 1248, 1560, 1872, 2184, 2496, 2808, 3120, 3432, 3744, 4056

So the LCM for 88 and 312 is 3432

Finding LCM for 88 and 312 by Prime Factorization

Another method to find LCM for numbers 88 and 312 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 88: 2, 2, 2, 11 (exponent form: 23, 111)

All Prime Factors of 312: 2, 2, 2, 3, 13 (exponent form: 23, 31, 131)

23 × 111 × 31 × 131 = 3432

LCM Table

Number 1Number 2LCM
7331222776
7431211544
753127800
763125928
7731224024
78312312
7931224648
803123120
813128424
8231212792
8331225896
843122184
8531226520
8631213416
873129048
883123432
8931227768
903124680
913122184
923127176
933129672
9431214664
9531229640
963121248
9731230264
9831215288
9931210296
1003127800
10131231512
1023125304

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 88 and 312? (The answer is: 3432). Select the first number (e.g. '88') and the second number (e.g. '312'). 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 88 and 312?

LCM of 88 and 312 is 3,432