What is the Least Common Multiple of 63072 and 63083?

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 63072 and 63083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63072 and 63083, than apply into the LCM equation.

GCF(63072,63083) = 1
LCM(63072,63083) = ( 63072 × 63083) / 1
LCM(63072,63083) = 3978770976 / 1
LCM(63072,63083) = 3978770976

Least Common Multiple (LCM) of 63072 and 63083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63072 and 63083. First we will calculate the prime factors of 63072 and 63083.

Prime Factorization of 63072

Prime Factorization of 63083

Now multiplying the highest exponent prime factors to calculate the LCM of 63072 and 63083.

LCM(63072,63083) = 2⁵ × 3³ × 73¹ × 199¹ × 317¹
LCM(63072,63083) = 3978770976