What is the Least Common Multiple of 65375 and 65382?

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 65375 and 65382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65375 and 65382, than apply into the LCM equation.

GCF(65375,65382) = 1
LCM(65375,65382) = ( 65375 × 65382) / 1
LCM(65375,65382) = 4274348250 / 1
LCM(65375,65382) = 4274348250

Least Common Multiple (LCM) of 65375 and 65382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65375 and 65382. First we will calculate the prime factors of 65375 and 65382.

Prime Factorization of 65375

Prime Factorization of 65382

Now multiplying the highest exponent prime factors to calculate the LCM of 65375 and 65382.

LCM(65375,65382) = 5³ × 523¹ × 2¹ × 3¹ × 17¹ × 641¹
LCM(65375,65382) = 4274348250