What is the Least Common Multiple of 74793 and 74813?

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 74793 and 74813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74793 and 74813, than apply into the LCM equation.

GCF(74793,74813) = 1
LCM(74793,74813) = ( 74793 × 74813) / 1
LCM(74793,74813) = 5595488709 / 1
LCM(74793,74813) = 5595488709

Least Common Multiple (LCM) of 74793 and 74813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74793 and 74813. First we will calculate the prime factors of 74793 and 74813.

Prime Factorization of 74793

Prime Factorization of 74813

Now multiplying the highest exponent prime factors to calculate the LCM of 74793 and 74813.

LCM(74793,74813) = 3¹ × 107¹ × 233¹ × 79¹ × 947¹
LCM(74793,74813) = 5595488709