What is the Least Common Multiple of 42495 and 42501?

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 42495 and 42501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42495 and 42501, than apply into the LCM equation.

GCF(42495,42501) = 3
LCM(42495,42501) = ( 42495 × 42501) / 3
LCM(42495,42501) = 1806079995 / 3
LCM(42495,42501) = 602026665

Least Common Multiple (LCM) of 42495 and 42501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42495 and 42501. First we will calculate the prime factors of 42495 and 42501.

Prime Factorization of 42495

Prime Factorization of 42501

Now multiplying the highest exponent prime factors to calculate the LCM of 42495 and 42501.

LCM(42495,42501) = 3¹ × 5¹ × 2833¹ × 31¹ × 457¹
LCM(42495,42501) = 602026665