What is the Least Common Multiple of 65364 and 65377?

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 65364 and 65377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65364 and 65377, than apply into the LCM equation.

GCF(65364,65377) = 13
LCM(65364,65377) = ( 65364 × 65377) / 13
LCM(65364,65377) = 4273302228 / 13
LCM(65364,65377) = 328715556

Least Common Multiple (LCM) of 65364 and 65377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65364 and 65377. First we will calculate the prime factors of 65364 and 65377.

Prime Factorization of 65364

Prime Factorization of 65377

Now multiplying the highest exponent prime factors to calculate the LCM of 65364 and 65377.

LCM(65364,65377) = 2² × 3¹ × 13¹ × 419¹ × 47¹ × 107¹
LCM(65364,65377) = 328715556