What is the Least Common Multiple of 56466 and 56481?

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 56466 and 56481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56466 and 56481, than apply into the LCM equation.

GCF(56466,56481) = 3
LCM(56466,56481) = ( 56466 × 56481) / 3
LCM(56466,56481) = 3189256146 / 3
LCM(56466,56481) = 1063085382

Least Common Multiple (LCM) of 56466 and 56481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56466 and 56481. First we will calculate the prime factors of 56466 and 56481.

Prime Factorization of 56466

Prime Factorization of 56481

Now multiplying the highest exponent prime factors to calculate the LCM of 56466 and 56481.

LCM(56466,56481) = 2¹ × 3² × 3137¹ × 67¹ × 281¹
LCM(56466,56481) = 1063085382