What is the Least Common Multiple of 56793 and 56813?

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 56793 and 56813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56793 and 56813, than apply into the LCM equation.

GCF(56793,56813) = 1
LCM(56793,56813) = ( 56793 × 56813) / 1
LCM(56793,56813) = 3226580709 / 1
LCM(56793,56813) = 3226580709

Least Common Multiple (LCM) of 56793 and 56813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56793 and 56813. First we will calculate the prime factors of 56793 and 56813.

Prime Factorization of 56793

Prime Factorization of 56813

Now multiplying the highest exponent prime factors to calculate the LCM of 56793 and 56813.

LCM(56793,56813) = 3¹ × 11¹ × 1721¹ × 56813¹
LCM(56793,56813) = 3226580709