What is the Least Common Multiple of 71295 and 71310?

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 71295 and 71310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71295 and 71310, than apply into the LCM equation.

GCF(71295,71310) = 15
LCM(71295,71310) = ( 71295 × 71310) / 15
LCM(71295,71310) = 5084046450 / 15
LCM(71295,71310) = 338936430

Least Common Multiple (LCM) of 71295 and 71310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71295 and 71310. First we will calculate the prime factors of 71295 and 71310.

Prime Factorization of 71295

Prime Factorization of 71310

Now multiplying the highest exponent prime factors to calculate the LCM of 71295 and 71310.

LCM(71295,71310) = 3¹ × 5¹ × 7² × 97¹ × 2¹ × 2377¹
LCM(71295,71310) = 338936430