What is the Least Common Multiple of 55996 and 56000?

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 55996 and 56000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55996 and 56000, than apply into the LCM equation.

GCF(55996,56000) = 4
LCM(55996,56000) = ( 55996 × 56000) / 4
LCM(55996,56000) = 3135776000 / 4
LCM(55996,56000) = 783944000

Least Common Multiple (LCM) of 55996 and 56000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55996 and 56000. First we will calculate the prime factors of 55996 and 56000.

Prime Factorization of 55996

Prime Factorization of 56000

Now multiplying the highest exponent prime factors to calculate the LCM of 55996 and 56000.

LCM(55996,56000) = 2⁶ × 13999¹ × 5³ × 7¹
LCM(55996,56000) = 783944000