What is the Least Common Multiple of 79306 and 79314?

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 79306 and 79314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79306 and 79314, than apply into the LCM equation.

GCF(79306,79314) = 2
LCM(79306,79314) = ( 79306 × 79314) / 2
LCM(79306,79314) = 6290076084 / 2
LCM(79306,79314) = 3145038042

Least Common Multiple (LCM) of 79306 and 79314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79306 and 79314. First we will calculate the prime factors of 79306 and 79314.

Prime Factorization of 79306

Prime Factorization of 79314

Now multiplying the highest exponent prime factors to calculate the LCM of 79306 and 79314.

LCM(79306,79314) = 2¹ × 19¹ × 2087¹ × 3¹ × 13219¹
LCM(79306,79314) = 3145038042