What is the Least Common Multiple of 42915 and 42927?

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 42915 and 42927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42915 and 42927, than apply into the LCM equation.

GCF(42915,42927) = 3
LCM(42915,42927) = ( 42915 × 42927) / 3
LCM(42915,42927) = 1842212205 / 3
LCM(42915,42927) = 614070735

Least Common Multiple (LCM) of 42915 and 42927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42915 and 42927. First we will calculate the prime factors of 42915 and 42927.

Prime Factorization of 42915

Prime Factorization of 42927

Now multiplying the highest exponent prime factors to calculate the LCM of 42915 and 42927.

LCM(42915,42927) = 3¹ × 5¹ × 2861¹ × 41¹ × 349¹
LCM(42915,42927) = 614070735