What is the Least Common Multiple of 64344 and 64362?

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 64344 and 64362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64344 and 64362, than apply into the LCM equation.

GCF(64344,64362) = 6
LCM(64344,64362) = ( 64344 × 64362) / 6
LCM(64344,64362) = 4141308528 / 6
LCM(64344,64362) = 690218088

Least Common Multiple (LCM) of 64344 and 64362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64344 and 64362. First we will calculate the prime factors of 64344 and 64362.

Prime Factorization of 64344

Prime Factorization of 64362

Now multiplying the highest exponent prime factors to calculate the LCM of 64344 and 64362.

LCM(64344,64362) = 2³ × 3¹ × 7¹ × 383¹ × 17¹ × 631¹
LCM(64344,64362) = 690218088