What is the Least Common Multiple of 79923 and 79935?

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 79923 and 79935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79923 and 79935, than apply into the LCM equation.

GCF(79923,79935) = 3
LCM(79923,79935) = ( 79923 × 79935) / 3
LCM(79923,79935) = 6388645005 / 3
LCM(79923,79935) = 2129548335

Least Common Multiple (LCM) of 79923 and 79935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79923 and 79935. First we will calculate the prime factors of 79923 and 79935.

Prime Factorization of 79923

Prime Factorization of 79935

Now multiplying the highest exponent prime factors to calculate the LCM of 79923 and 79935.

LCM(79923,79935) = 3¹ × 26641¹ × 5¹ × 73²
LCM(79923,79935) = 2129548335