What is the Least Common Multiple of 74718 and 74722?

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 74718 and 74722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74718 and 74722, than apply into the LCM equation.

GCF(74718,74722) = 2
LCM(74718,74722) = ( 74718 × 74722) / 2
LCM(74718,74722) = 5583078396 / 2
LCM(74718,74722) = 2791539198

Least Common Multiple (LCM) of 74718 and 74722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74718 and 74722. First we will calculate the prime factors of 74718 and 74722.

Prime Factorization of 74718

Prime Factorization of 74722

Now multiplying the highest exponent prime factors to calculate the LCM of 74718 and 74722.

LCM(74718,74722) = 2¹ × 3² × 7¹ × 593¹ × 37361¹
LCM(74718,74722) = 2791539198