What is the Least Common Multiple of 79000 and 79014?

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 79000 and 79014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79000 and 79014, than apply into the LCM equation.

GCF(79000,79014) = 2
LCM(79000,79014) = ( 79000 × 79014) / 2
LCM(79000,79014) = 6242106000 / 2
LCM(79000,79014) = 3121053000

Least Common Multiple (LCM) of 79000 and 79014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79000 and 79014. First we will calculate the prime factors of 79000 and 79014.

Prime Factorization of 79000

Prime Factorization of 79014

Now multiplying the highest exponent prime factors to calculate the LCM of 79000 and 79014.

LCM(79000,79014) = 2³ × 5³ × 79¹ × 3¹ × 13¹ × 1013¹
LCM(79000,79014) = 3121053000