What is the Least Common Multiple of 47944 and 47964?

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 47944 and 47964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47944 and 47964, than apply into the LCM equation.

GCF(47944,47964) = 4
LCM(47944,47964) = ( 47944 × 47964) / 4
LCM(47944,47964) = 2299586016 / 4
LCM(47944,47964) = 574896504

Least Common Multiple (LCM) of 47944 and 47964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47944 and 47964. First we will calculate the prime factors of 47944 and 47964.

Prime Factorization of 47944

Prime Factorization of 47964

Now multiplying the highest exponent prime factors to calculate the LCM of 47944 and 47964.

LCM(47944,47964) = 2³ × 13¹ × 461¹ × 3¹ × 7¹ × 571¹
LCM(47944,47964) = 574896504