What is the Least Common Multiple of 37440 and 37451?

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 37440 and 37451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37440 and 37451, than apply into the LCM equation.

GCF(37440,37451) = 1
LCM(37440,37451) = ( 37440 × 37451) / 1
LCM(37440,37451) = 1402165440 / 1
LCM(37440,37451) = 1402165440

Least Common Multiple (LCM) of 37440 and 37451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37440 and 37451. First we will calculate the prime factors of 37440 and 37451.

Prime Factorization of 37440

Prime Factorization of 37451

Now multiplying the highest exponent prime factors to calculate the LCM of 37440 and 37451.

LCM(37440,37451) = 2⁶ × 3² × 5¹ × 13¹ × 17¹ × 2203¹
LCM(37440,37451) = 1402165440