What is the Least Common Multiple of 37479 and 37490?

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 37479 and 37490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37479 and 37490, than apply into the LCM equation.

GCF(37479,37490) = 1
LCM(37479,37490) = ( 37479 × 37490) / 1
LCM(37479,37490) = 1405087710 / 1
LCM(37479,37490) = 1405087710

Least Common Multiple (LCM) of 37479 and 37490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37479 and 37490. First we will calculate the prime factors of 37479 and 37490.

Prime Factorization of 37479

Prime Factorization of 37490

Now multiplying the highest exponent prime factors to calculate the LCM of 37479 and 37490.

LCM(37479,37490) = 3¹ × 13¹ × 31² × 2¹ × 5¹ × 23¹ × 163¹
LCM(37479,37490) = 1405087710