What is the Least Common Multiple of 74646 and 74655?

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 74646 and 74655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74646 and 74655, than apply into the LCM equation.

GCF(74646,74655) = 9
LCM(74646,74655) = ( 74646 × 74655) / 9
LCM(74646,74655) = 5572697130 / 9
LCM(74646,74655) = 619188570

Least Common Multiple (LCM) of 74646 and 74655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74646 and 74655. First we will calculate the prime factors of 74646 and 74655.

Prime Factorization of 74646

Prime Factorization of 74655

Now multiplying the highest exponent prime factors to calculate the LCM of 74646 and 74655.

LCM(74646,74655) = 2¹ × 3³ × 11¹ × 13¹ × 29¹ × 5¹ × 7¹ × 79¹
LCM(74646,74655) = 619188570