What is the Least Common Multiple of 37444 and 37450?

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 37444 and 37450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37444 and 37450, than apply into the LCM equation.

GCF(37444,37450) = 2
LCM(37444,37450) = ( 37444 × 37450) / 2
LCM(37444,37450) = 1402277800 / 2
LCM(37444,37450) = 701138900

Least Common Multiple (LCM) of 37444 and 37450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37444 and 37450. First we will calculate the prime factors of 37444 and 37450.

Prime Factorization of 37444

Prime Factorization of 37450

Now multiplying the highest exponent prime factors to calculate the LCM of 37444 and 37450.

LCM(37444,37450) = 2² × 11¹ × 23¹ × 37¹ × 5² × 7¹ × 107¹
LCM(37444,37450) = 701138900