What is the Least Common Multiple of 37470 and 37489?

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 37470 and 37489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37470 and 37489, than apply into the LCM equation.

GCF(37470,37489) = 1
LCM(37470,37489) = ( 37470 × 37489) / 1
LCM(37470,37489) = 1404712830 / 1
LCM(37470,37489) = 1404712830

Least Common Multiple (LCM) of 37470 and 37489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37470 and 37489. First we will calculate the prime factors of 37470 and 37489.

Prime Factorization of 37470

Prime Factorization of 37489

Now multiplying the highest exponent prime factors to calculate the LCM of 37470 and 37489.

LCM(37470,37489) = 2¹ × 3¹ × 5¹ × 1249¹ × 37489¹
LCM(37470,37489) = 1404712830