What is the Least Common Multiple of 77988 and 78007?

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 77988 and 78007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77988 and 78007, than apply into the LCM equation.

GCF(77988,78007) = 1
LCM(77988,78007) = ( 77988 × 78007) / 1
LCM(77988,78007) = 6083609916 / 1
LCM(77988,78007) = 6083609916

Least Common Multiple (LCM) of 77988 and 78007 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77988 and 78007. First we will calculate the prime factors of 77988 and 78007.

Prime Factorization of 77988

Prime Factorization of 78007

Now multiplying the highest exponent prime factors to calculate the LCM of 77988 and 78007.

LCM(77988,78007) = 2² × 3¹ × 67¹ × 97¹ × 78007¹
LCM(77988,78007) = 6083609916