What is the Least Common Multiple of 74703 and 74718?

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 74703 and 74718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74703 and 74718, than apply into the LCM equation.

GCF(74703,74718) = 3
LCM(74703,74718) = ( 74703 × 74718) / 3
LCM(74703,74718) = 5581658754 / 3
LCM(74703,74718) = 1860552918

Least Common Multiple (LCM) of 74703 and 74718 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74703 and 74718. First we will calculate the prime factors of 74703 and 74718.

Prime Factorization of 74703

Prime Factorization of 74718

Now multiplying the highest exponent prime factors to calculate the LCM of 74703 and 74718.

LCM(74703,74718) = 3² × 37¹ × 673¹ × 2¹ × 7¹ × 593¹
LCM(74703,74718) = 1860552918