What is the Least Common Multiple of 37314 and 37324?

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 37314 and 37324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37314 and 37324, than apply into the LCM equation.

GCF(37314,37324) = 2
LCM(37314,37324) = ( 37314 × 37324) / 2
LCM(37314,37324) = 1392707736 / 2
LCM(37314,37324) = 696353868

Least Common Multiple (LCM) of 37314 and 37324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37314 and 37324. First we will calculate the prime factors of 37314 and 37324.

Prime Factorization of 37314

Prime Factorization of 37324

Now multiplying the highest exponent prime factors to calculate the LCM of 37314 and 37324.

LCM(37314,37324) = 2² × 3³ × 691¹ × 7¹ × 31¹ × 43¹
LCM(37314,37324) = 696353868