What is the Least Common Multiple of 74640 and 74646?

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 74646 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 74646, than apply into the LCM equation.

GCF(74640,74646) = 6
LCM(74640,74646) = ( 74640 × 74646) / 6
LCM(74640,74646) = 5571577440 / 6
LCM(74640,74646) = 928596240

Least Common Multiple (LCM) of 74640 and 74646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74640 and 74646. First we will calculate the prime factors of 74640 and 74646.

Prime Factorization of 74640

Prime Factorization of 74646

Now multiplying the highest exponent prime factors to calculate the LCM of 74640 and 74646.

LCM(74640,74646) = 2⁴ × 3² × 5¹ × 311¹ × 11¹ × 13¹ × 29¹
LCM(74640,74646) = 928596240