What is the Least Common Multiple of 64519 and 64532?

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 64519 and 64532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64519 and 64532, than apply into the LCM equation.

GCF(64519,64532) = 13
LCM(64519,64532) = ( 64519 × 64532) / 13
LCM(64519,64532) = 4163540108 / 13
LCM(64519,64532) = 320272316

Least Common Multiple (LCM) of 64519 and 64532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64519 and 64532. First we will calculate the prime factors of 64519 and 64532.

Prime Factorization of 64519

Prime Factorization of 64532

Now multiplying the highest exponent prime factors to calculate the LCM of 64519 and 64532.

LCM(64519,64532) = 7¹ × 13¹ × 709¹ × 2² × 17¹ × 73¹
LCM(64519,64532) = 320272316