What is the Least Common Multiple of 74640 and 74656?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 74640 and 74656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74640 and 74656, than apply into the LCM equation.

GCF(74640,74656) = 16
LCM(74640,74656) = ( 74640 × 74656) / 16
LCM(74640,74656) = 5572323840 / 16
LCM(74640,74656) = 348270240

Least Common Multiple (LCM) of 74640 and 74656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74640 and 74656. First we will calculate the prime factors of 74640 and 74656.

Prime Factorization of 74640

Prime Factorization of 74656

Now multiplying the highest exponent prime factors to calculate the LCM of 74640 and 74656.

LCM(74640,74656) = 2⁵ × 3¹ × 5¹ × 311¹ × 2333¹
LCM(74640,74656) = 348270240