What is the Least Common Multiple of 87870 and 87879?

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 87870 and 87879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87870 and 87879, than apply into the LCM equation.

GCF(87870,87879) = 3
LCM(87870,87879) = ( 87870 × 87879) / 3
LCM(87870,87879) = 7721927730 / 3
LCM(87870,87879) = 2573975910

Least Common Multiple (LCM) of 87870 and 87879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87870 and 87879. First we will calculate the prime factors of 87870 and 87879.

Prime Factorization of 87870

Prime Factorization of 87879

Now multiplying the highest exponent prime factors to calculate the LCM of 87870 and 87879.

LCM(87870,87879) = 2¹ × 3¹ × 5¹ × 29¹ × 101¹ × 11¹ × 2663¹
LCM(87870,87879) = 2573975910