What is the Least Common Multiple of 88620 and 88625?

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 88625 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 88625, than apply into the LCM equation.

GCF(88620,88625) = 5
LCM(88620,88625) = ( 88620 × 88625) / 5
LCM(88620,88625) = 7853947500 / 5
LCM(88620,88625) = 1570789500

Least Common Multiple (LCM) of 88620 and 88625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88620 and 88625. First we will calculate the prime factors of 88620 and 88625.

Prime Factorization of 88620

Prime Factorization of 88625

Now multiplying the highest exponent prime factors to calculate the LCM of 88620 and 88625.

LCM(88620,88625) = 2² × 3¹ × 5³ × 7¹ × 211¹ × 709¹
LCM(88620,88625) = 1570789500