What is the Least Common Multiple of 64259 and 64272?

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 64259 and 64272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64259 and 64272, than apply into the LCM equation.

GCF(64259,64272) = 13
LCM(64259,64272) = ( 64259 × 64272) / 13
LCM(64259,64272) = 4130054448 / 13
LCM(64259,64272) = 317696496

Least Common Multiple (LCM) of 64259 and 64272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64259 and 64272. First we will calculate the prime factors of 64259 and 64272.

Prime Factorization of 64259

Prime Factorization of 64272

Now multiplying the highest exponent prime factors to calculate the LCM of 64259 and 64272.

LCM(64259,64272) = 13¹ × 4943¹ × 2⁴ × 3¹ × 103¹
LCM(64259,64272) = 317696496