What is the Least Common Multiple of 66870 and 66879?

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 66870 and 66879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66870 and 66879, than apply into the LCM equation.

GCF(66870,66879) = 9
LCM(66870,66879) = ( 66870 × 66879) / 9
LCM(66870,66879) = 4472198730 / 9
LCM(66870,66879) = 496910970

Least Common Multiple (LCM) of 66870 and 66879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66870 and 66879. First we will calculate the prime factors of 66870 and 66879.

Prime Factorization of 66870

Prime Factorization of 66879

Now multiplying the highest exponent prime factors to calculate the LCM of 66870 and 66879.

LCM(66870,66879) = 2¹ × 3³ × 5¹ × 743¹ × 2477¹
LCM(66870,66879) = 496910970