What is the Least Common Multiple of 66870 and 66887?

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 66887 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 66887, than apply into the LCM equation.

GCF(66870,66887) = 1
LCM(66870,66887) = ( 66870 × 66887) / 1
LCM(66870,66887) = 4472733690 / 1
LCM(66870,66887) = 4472733690

Least Common Multiple (LCM) of 66870 and 66887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66870 and 66887. First we will calculate the prime factors of 66870 and 66887.

Prime Factorization of 66870

Prime Factorization of 66887

Now multiplying the highest exponent prime factors to calculate the LCM of 66870 and 66887.

LCM(66870,66887) = 2¹ × 3² × 5¹ × 743¹ × 211¹ × 317¹
LCM(66870,66887) = 4472733690