What is the Least Common Multiple of 77970 and 77976?

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 77970 and 77976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77970 and 77976, than apply into the LCM equation.

GCF(77970,77976) = 6
LCM(77970,77976) = ( 77970 × 77976) / 6
LCM(77970,77976) = 6079788720 / 6
LCM(77970,77976) = 1013298120

Least Common Multiple (LCM) of 77970 and 77976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77970 and 77976. First we will calculate the prime factors of 77970 and 77976.

Prime Factorization of 77970

Prime Factorization of 77976

Now multiplying the highest exponent prime factors to calculate the LCM of 77970 and 77976.

LCM(77970,77976) = 2³ × 3³ × 5¹ × 23¹ × 113¹ × 19²
LCM(77970,77976) = 1013298120