What is the Least Common Multiple of 77980 and 77989?

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 77980 and 77989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77980 and 77989, than apply into the LCM equation.

GCF(77980,77989) = 1
LCM(77980,77989) = ( 77980 × 77989) / 1
LCM(77980,77989) = 6081582220 / 1
LCM(77980,77989) = 6081582220

Least Common Multiple (LCM) of 77980 and 77989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77980 and 77989. First we will calculate the prime factors of 77980 and 77989.

Prime Factorization of 77980

Prime Factorization of 77989

Now multiplying the highest exponent prime factors to calculate the LCM of 77980 and 77989.

LCM(77980,77989) = 2² × 5¹ × 7¹ × 557¹ × 167¹ × 467¹
LCM(77980,77989) = 6081582220