What is the Least Common Multiple of 68610 and 68625?

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 68610 and 68625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68610 and 68625, than apply into the LCM equation.

GCF(68610,68625) = 15
LCM(68610,68625) = ( 68610 × 68625) / 15
LCM(68610,68625) = 4708361250 / 15
LCM(68610,68625) = 313890750

Least Common Multiple (LCM) of 68610 and 68625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68610 and 68625. First we will calculate the prime factors of 68610 and 68625.

Prime Factorization of 68610

Prime Factorization of 68625

Now multiplying the highest exponent prime factors to calculate the LCM of 68610 and 68625.

LCM(68610,68625) = 2¹ × 3² × 5³ × 2287¹ × 61¹
LCM(68610,68625) = 313890750