What is the Least Common Multiple of 64314 and 64320?

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 64314 and 64320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64314 and 64320, than apply into the LCM equation.

GCF(64314,64320) = 6
LCM(64314,64320) = ( 64314 × 64320) / 6
LCM(64314,64320) = 4136676480 / 6
LCM(64314,64320) = 689446080

Least Common Multiple (LCM) of 64314 and 64320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64314 and 64320. First we will calculate the prime factors of 64314 and 64320.

Prime Factorization of 64314

Prime Factorization of 64320

Now multiplying the highest exponent prime factors to calculate the LCM of 64314 and 64320.

LCM(64314,64320) = 2⁶ × 3⁴ × 397¹ × 5¹ × 67¹
LCM(64314,64320) = 689446080