What is the Least Common Multiple of 97521 and 97527?

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 97521 and 97527 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97521 and 97527, than apply into the LCM equation.

GCF(97521,97527) = 3
LCM(97521,97527) = ( 97521 × 97527) / 3
LCM(97521,97527) = 9510930567 / 3
LCM(97521,97527) = 3170310189

Least Common Multiple (LCM) of 97521 and 97527 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97521 and 97527. First we will calculate the prime factors of 97521 and 97527.

Prime Factorization of 97521

Prime Factorization of 97527

Now multiplying the highest exponent prime factors to calculate the LCM of 97521 and 97527.

LCM(97521,97527) = 3¹ × 32507¹ × 19¹ × 29¹ × 59¹
LCM(97521,97527) = 3170310189