What is the Least Common Multiple of 76980 and 76990?

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 76980 and 76990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76980 and 76990, than apply into the LCM equation.

GCF(76980,76990) = 10
LCM(76980,76990) = ( 76980 × 76990) / 10
LCM(76980,76990) = 5926690200 / 10
LCM(76980,76990) = 592669020

Least Common Multiple (LCM) of 76980 and 76990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76980 and 76990. First we will calculate the prime factors of 76980 and 76990.

Prime Factorization of 76980

Prime Factorization of 76990

Now multiplying the highest exponent prime factors to calculate the LCM of 76980 and 76990.

LCM(76980,76990) = 2² × 3¹ × 5¹ × 1283¹ × 7699¹
LCM(76980,76990) = 592669020