What is the Least Common Multiple of 66610 and 66625?

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 66610 and 66625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66610 and 66625, than apply into the LCM equation.

GCF(66610,66625) = 5
LCM(66610,66625) = ( 66610 × 66625) / 5
LCM(66610,66625) = 4437891250 / 5
LCM(66610,66625) = 887578250

Least Common Multiple (LCM) of 66610 and 66625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66610 and 66625. First we will calculate the prime factors of 66610 and 66625.

Prime Factorization of 66610

Prime Factorization of 66625

Now multiplying the highest exponent prime factors to calculate the LCM of 66610 and 66625.

LCM(66610,66625) = 2¹ × 5³ × 6661¹ × 13¹ × 41¹
LCM(66610,66625) = 887578250