What is the Least Common Multiple of 77870 and 77875?

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 77870 and 77875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77870 and 77875, than apply into the LCM equation.

GCF(77870,77875) = 5
LCM(77870,77875) = ( 77870 × 77875) / 5
LCM(77870,77875) = 6064126250 / 5
LCM(77870,77875) = 1212825250

Least Common Multiple (LCM) of 77870 and 77875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77870 and 77875. First we will calculate the prime factors of 77870 and 77875.

Prime Factorization of 77870

Prime Factorization of 77875

Now multiplying the highest exponent prime factors to calculate the LCM of 77870 and 77875.

LCM(77870,77875) = 2¹ × 5³ × 13¹ × 599¹ × 7¹ × 89¹
LCM(77870,77875) = 1212825250