What is the Least Common Multiple of 68625 and 68635?

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 68625 and 68635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68625 and 68635, than apply into the LCM equation.

GCF(68625,68635) = 5
LCM(68625,68635) = ( 68625 × 68635) / 5
LCM(68625,68635) = 4710076875 / 5
LCM(68625,68635) = 942015375

Least Common Multiple (LCM) of 68625 and 68635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68625 and 68635. First we will calculate the prime factors of 68625 and 68635.

Prime Factorization of 68625

Prime Factorization of 68635

Now multiplying the highest exponent prime factors to calculate the LCM of 68625 and 68635.

LCM(68625,68635) = 3² × 5³ × 61¹ × 7¹ × 37¹ × 53¹
LCM(68625,68635) = 942015375