What is the Least Common Multiple of 37518 and 37537?

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 37518 and 37537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37518 and 37537, than apply into the LCM equation.

GCF(37518,37537) = 1
LCM(37518,37537) = ( 37518 × 37537) / 1
LCM(37518,37537) = 1408313166 / 1
LCM(37518,37537) = 1408313166

Least Common Multiple (LCM) of 37518 and 37537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37518 and 37537. First we will calculate the prime factors of 37518 and 37537.

Prime Factorization of 37518

Prime Factorization of 37537

Now multiplying the highest exponent prime factors to calculate the LCM of 37518 and 37537.

LCM(37518,37537) = 2¹ × 3¹ × 13² × 37¹ × 37537¹
LCM(37518,37537) = 1408313166