What is the Least Common Multiple of 40796 and 40813?

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 40796 and 40813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40796 and 40813, than apply into the LCM equation.

GCF(40796,40813) = 1
LCM(40796,40813) = ( 40796 × 40813) / 1
LCM(40796,40813) = 1665007148 / 1
LCM(40796,40813) = 1665007148

Least Common Multiple (LCM) of 40796 and 40813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40796 and 40813. First we will calculate the prime factors of 40796 and 40813.

Prime Factorization of 40796

Prime Factorization of 40813

Now multiplying the highest exponent prime factors to calculate the LCM of 40796 and 40813.

LCM(40796,40813) = 2² × 7¹ × 31¹ × 47¹ × 40813¹
LCM(40796,40813) = 1665007148