What is the Least Common Multiple of 52965 and 52971?

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 52965 and 52971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52965 and 52971, than apply into the LCM equation.

GCF(52965,52971) = 3
LCM(52965,52971) = ( 52965 × 52971) / 3
LCM(52965,52971) = 2805609015 / 3
LCM(52965,52971) = 935203005

Least Common Multiple (LCM) of 52965 and 52971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52965 and 52971. First we will calculate the prime factors of 52965 and 52971.

Prime Factorization of 52965

Prime Factorization of 52971

Now multiplying the highest exponent prime factors to calculate the LCM of 52965 and 52971.

LCM(52965,52971) = 3² × 5¹ × 11¹ × 107¹ × 17657¹
LCM(52965,52971) = 935203005