What is the Least Common Multiple of 77965 and 77980?

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 77965 and 77980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77965 and 77980, than apply into the LCM equation.

GCF(77965,77980) = 5
LCM(77965,77980) = ( 77965 × 77980) / 5
LCM(77965,77980) = 6079710700 / 5
LCM(77965,77980) = 1215942140

Least Common Multiple (LCM) of 77965 and 77980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77965 and 77980. First we will calculate the prime factors of 77965 and 77980.

Prime Factorization of 77965

Prime Factorization of 77980

Now multiplying the highest exponent prime factors to calculate the LCM of 77965 and 77980.

LCM(77965,77980) = 5¹ × 31¹ × 503¹ × 2² × 7¹ × 557¹
LCM(77965,77980) = 1215942140