What is the Least Common Multiple of 47964 and 47984?

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 47984 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 47984, than apply into the LCM equation.

GCF(47964,47984) = 4
LCM(47964,47984) = ( 47964 × 47984) / 4
LCM(47964,47984) = 2301504576 / 4
LCM(47964,47984) = 575376144

Least Common Multiple (LCM) of 47964 and 47984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47964 and 47984. First we will calculate the prime factors of 47964 and 47984.

Prime Factorization of 47964

Prime Factorization of 47984

Now multiplying the highest exponent prime factors to calculate the LCM of 47964 and 47984.

LCM(47964,47984) = 2⁴ × 3¹ × 7¹ × 571¹ × 2999¹
LCM(47964,47984) = 575376144