What is the Least Common Multiple of 79295 and 79308?

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 79295 and 79308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79295 and 79308, than apply into the LCM equation.

GCF(79295,79308) = 1
LCM(79295,79308) = ( 79295 × 79308) / 1
LCM(79295,79308) = 6288727860 / 1
LCM(79295,79308) = 6288727860

Least Common Multiple (LCM) of 79295 and 79308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79295 and 79308. First we will calculate the prime factors of 79295 and 79308.

Prime Factorization of 79295

Prime Factorization of 79308

Now multiplying the highest exponent prime factors to calculate the LCM of 79295 and 79308.

LCM(79295,79308) = 5¹ × 15859¹ × 2² × 3² × 2203¹
LCM(79295,79308) = 6288727860