What is the Least Common Multiple of 61870 and 61876?

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 61870 and 61876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61870 and 61876, than apply into the LCM equation.

GCF(61870,61876) = 2
LCM(61870,61876) = ( 61870 × 61876) / 2
LCM(61870,61876) = 3828268120 / 2
LCM(61870,61876) = 1914134060

Least Common Multiple (LCM) of 61870 and 61876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61870 and 61876. First we will calculate the prime factors of 61870 and 61876.

Prime Factorization of 61870

Prime Factorization of 61876

Now multiplying the highest exponent prime factors to calculate the LCM of 61870 and 61876.

LCM(61870,61876) = 2² × 5¹ × 23¹ × 269¹ × 31¹ × 499¹
LCM(61870,61876) = 1914134060