What is the Least Common Multiple of 56479 and 56486?

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 56479 and 56486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56479 and 56486, than apply into the LCM equation.

GCF(56479,56486) = 1
LCM(56479,56486) = ( 56479 × 56486) / 1
LCM(56479,56486) = 3190272794 / 1
LCM(56479,56486) = 3190272794

Least Common Multiple (LCM) of 56479 and 56486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56479 and 56486. First we will calculate the prime factors of 56479 and 56486.

Prime Factorization of 56479

Prime Factorization of 56486

Now multiplying the highest exponent prime factors to calculate the LCM of 56479 and 56486.

LCM(56479,56486) = 56479¹ × 2¹ × 61¹ × 463¹
LCM(56479,56486) = 3190272794