What is the Least Common Multiple of 88620 and 88635?

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 88620 and 88635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88620 and 88635, than apply into the LCM equation.

GCF(88620,88635) = 15
LCM(88620,88635) = ( 88620 × 88635) / 15
LCM(88620,88635) = 7854833700 / 15
LCM(88620,88635) = 523655580

Least Common Multiple (LCM) of 88620 and 88635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88620 and 88635. First we will calculate the prime factors of 88620 and 88635.

Prime Factorization of 88620

Prime Factorization of 88635

Now multiplying the highest exponent prime factors to calculate the LCM of 88620 and 88635.

LCM(88620,88635) = 2² × 3¹ × 5¹ × 7¹ × 211¹ × 19¹ × 311¹
LCM(88620,88635) = 523655580