What is the Least Common Multiple of 63870 and 63879?

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 63870 and 63879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63870 and 63879, than apply into the LCM equation.

GCF(63870,63879) = 3
LCM(63870,63879) = ( 63870 × 63879) / 3
LCM(63870,63879) = 4079951730 / 3
LCM(63870,63879) = 1359983910

Least Common Multiple (LCM) of 63870 and 63879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63870 and 63879. First we will calculate the prime factors of 63870 and 63879.

Prime Factorization of 63870

Prime Factorization of 63879

Now multiplying the highest exponent prime factors to calculate the LCM of 63870 and 63879.

LCM(63870,63879) = 2¹ × 3¹ × 5¹ × 2129¹ × 107¹ × 199¹
LCM(63870,63879) = 1359983910