What is the Least Common Multiple of 77880 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 77880 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 77880 and 77900, than apply into the LCM equation.

GCF(77880,77900) = 20
LCM(77880,77900) = ( 77880 × 77900) / 20
LCM(77880,77900) = 6066852000 / 20
LCM(77880,77900) = 303342600

Least Common Multiple (LCM) of 77880 and 77900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77880 and 77900. First we will calculate the prime factors of 77880 and 77900.

Prime Factorization of 77880

Prime Factorization of 77900

Now multiplying the highest exponent prime factors to calculate the LCM of 77880 and 77900.

LCM(77880,77900) = 2³ × 3¹ × 5² × 11¹ × 59¹ × 19¹ × 41¹
LCM(77880,77900) = 303342600