What is the Least Common Multiple of 63870 and 63884?

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 63884 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 63884, than apply into the LCM equation.

GCF(63870,63884) = 2
LCM(63870,63884) = ( 63870 × 63884) / 2
LCM(63870,63884) = 4080271080 / 2
LCM(63870,63884) = 2040135540

Least Common Multiple (LCM) of 63870 and 63884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63870 and 63884. First we will calculate the prime factors of 63870 and 63884.

Prime Factorization of 63870

Prime Factorization of 63884

Now multiplying the highest exponent prime factors to calculate the LCM of 63870 and 63884.

LCM(63870,63884) = 2² × 3¹ × 5¹ × 2129¹ × 15971¹
LCM(63870,63884) = 2040135540