What is the Least Common Multiple of 64365 and 64374?

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 64365 and 64374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64365 and 64374, than apply into the LCM equation.

GCF(64365,64374) = 3
LCM(64365,64374) = ( 64365 × 64374) / 3
LCM(64365,64374) = 4143432510 / 3
LCM(64365,64374) = 1381144170

Least Common Multiple (LCM) of 64365 and 64374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64365 and 64374. First we will calculate the prime factors of 64365 and 64374.

Prime Factorization of 64365

Prime Factorization of 64374

Now multiplying the highest exponent prime factors to calculate the LCM of 64365 and 64374.

LCM(64365,64374) = 3¹ × 5¹ × 7¹ × 613¹ × 2¹ × 10729¹
LCM(64365,64374) = 1381144170