What is the Least Common Multiple of 47964 and 47970?

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 47964 and 47970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47964 and 47970, than apply into the LCM equation.

GCF(47964,47970) = 6
LCM(47964,47970) = ( 47964 × 47970) / 6
LCM(47964,47970) = 2300833080 / 6
LCM(47964,47970) = 383472180

Least Common Multiple (LCM) of 47964 and 47970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47964 and 47970. First we will calculate the prime factors of 47964 and 47970.

Prime Factorization of 47964

Prime Factorization of 47970

Now multiplying the highest exponent prime factors to calculate the LCM of 47964 and 47970.

LCM(47964,47970) = 2² × 3² × 7¹ × 571¹ × 5¹ × 13¹ × 41¹
LCM(47964,47970) = 383472180