What is the Least Common Multiple of 77955 and 77970?

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 77955 and 77970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77955 and 77970, than apply into the LCM equation.

GCF(77955,77970) = 15
LCM(77955,77970) = ( 77955 × 77970) / 15
LCM(77955,77970) = 6078151350 / 15
LCM(77955,77970) = 405210090

Least Common Multiple (LCM) of 77955 and 77970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77955 and 77970. First we will calculate the prime factors of 77955 and 77970.

Prime Factorization of 77955

Prime Factorization of 77970

Now multiplying the highest exponent prime factors to calculate the LCM of 77955 and 77970.

LCM(77955,77970) = 3¹ × 5¹ × 5197¹ × 2¹ × 23¹ × 113¹
LCM(77955,77970) = 405210090