What is the Least Common Multiple of 77884 and 77900?

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 77884 and 77900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77884 and 77900, than apply into the LCM equation.

GCF(77884,77900) = 4
LCM(77884,77900) = ( 77884 × 77900) / 4
LCM(77884,77900) = 6067163600 / 4
LCM(77884,77900) = 1516790900

Least Common Multiple (LCM) of 77884 and 77900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77884 and 77900. First we will calculate the prime factors of 77884 and 77900.

Prime Factorization of 77884

Prime Factorization of 77900

Now multiplying the highest exponent prime factors to calculate the LCM of 77884 and 77900.

LCM(77884,77900) = 2² × 19471¹ × 5² × 19¹ × 41¹
LCM(77884,77900) = 1516790900