What is the Least Common Multiple of 79308 and 79315?

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 79308 and 79315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79308 and 79315, than apply into the LCM equation.

GCF(79308,79315) = 1
LCM(79308,79315) = ( 79308 × 79315) / 1
LCM(79308,79315) = 6290314020 / 1
LCM(79308,79315) = 6290314020

Least Common Multiple (LCM) of 79308 and 79315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79308 and 79315. First we will calculate the prime factors of 79308 and 79315.

Prime Factorization of 79308

Prime Factorization of 79315

Now multiplying the highest exponent prime factors to calculate the LCM of 79308 and 79315.

LCM(79308,79315) = 2² × 3² × 2203¹ × 5¹ × 29¹ × 547¹
LCM(79308,79315) = 6290314020