What is the Least Common Multiple of 77900 and 77919?

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 77900 and 77919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77900 and 77919, than apply into the LCM equation.

GCF(77900,77919) = 19
LCM(77900,77919) = ( 77900 × 77919) / 19
LCM(77900,77919) = 6069890100 / 19
LCM(77900,77919) = 319467900

Least Common Multiple (LCM) of 77900 and 77919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77900 and 77919. First we will calculate the prime factors of 77900 and 77919.

Prime Factorization of 77900

Prime Factorization of 77919

Now multiplying the highest exponent prime factors to calculate the LCM of 77900 and 77919.

LCM(77900,77919) = 2² × 5² × 19¹ × 41¹ × 3¹ × 1367¹
LCM(77900,77919) = 319467900