What is the Least Common Multiple of 64574 and 64591?

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 64574 and 64591 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64574 and 64591, than apply into the LCM equation.

GCF(64574,64591) = 1
LCM(64574,64591) = ( 64574 × 64591) / 1
LCM(64574,64591) = 4170899234 / 1
LCM(64574,64591) = 4170899234

Least Common Multiple (LCM) of 64574 and 64591 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64574 and 64591. First we will calculate the prime factors of 64574 and 64591.

Prime Factorization of 64574

Prime Factorization of 64591

Now multiplying the highest exponent prime factors to calculate the LCM of 64574 and 64591.

LCM(64574,64591) = 2¹ × 83¹ × 389¹ × 64591¹
LCM(64574,64591) = 4170899234