What is the Least Common Multiple of 57644 and 57663?

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 57644 and 57663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57644 and 57663, than apply into the LCM equation.

GCF(57644,57663) = 1
LCM(57644,57663) = ( 57644 × 57663) / 1
LCM(57644,57663) = 3323925972 / 1
LCM(57644,57663) = 3323925972

Least Common Multiple (LCM) of 57644 and 57663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57644 and 57663. First we will calculate the prime factors of 57644 and 57663.

Prime Factorization of 57644

Prime Factorization of 57663

Now multiplying the highest exponent prime factors to calculate the LCM of 57644 and 57663.

LCM(57644,57663) = 2² × 14411¹ × 3² × 43¹ × 149¹
LCM(57644,57663) = 3323925972