What is the Least Common Multiple of 78980 and 78989?

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 78980 and 78989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78980 and 78989, than apply into the LCM equation.

GCF(78980,78989) = 1
LCM(78980,78989) = ( 78980 × 78989) / 1
LCM(78980,78989) = 6238551220 / 1
LCM(78980,78989) = 6238551220

Least Common Multiple (LCM) of 78980 and 78989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78980 and 78989. First we will calculate the prime factors of 78980 and 78989.

Prime Factorization of 78980

Prime Factorization of 78989

Now multiplying the highest exponent prime factors to calculate the LCM of 78980 and 78989.

LCM(78980,78989) = 2² × 5¹ × 11¹ × 359¹ × 78989¹
LCM(78980,78989) = 6238551220