What is the Least Common Multiple of 37509 and 37514?

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 37509 and 37514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37509 and 37514, than apply into the LCM equation.

GCF(37509,37514) = 1
LCM(37509,37514) = ( 37509 × 37514) / 1
LCM(37509,37514) = 1407112626 / 1
LCM(37509,37514) = 1407112626

Least Common Multiple (LCM) of 37509 and 37514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37509 and 37514. First we will calculate the prime factors of 37509 and 37514.

Prime Factorization of 37509

Prime Factorization of 37514

Now multiplying the highest exponent prime factors to calculate the LCM of 37509 and 37514.

LCM(37509,37514) = 3¹ × 12503¹ × 2¹ × 18757¹
LCM(37509,37514) = 1407112626