What is the Least Common Multiple of 37135 and 37148?

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 37135 and 37148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37135 and 37148, than apply into the LCM equation.

GCF(37135,37148) = 1
LCM(37135,37148) = ( 37135 × 37148) / 1
LCM(37135,37148) = 1379490980 / 1
LCM(37135,37148) = 1379490980

Least Common Multiple (LCM) of 37135 and 37148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37135 and 37148. First we will calculate the prime factors of 37135 and 37148.

Prime Factorization of 37135

Prime Factorization of 37148

Now multiplying the highest exponent prime factors to calculate the LCM of 37135 and 37148.

LCM(37135,37148) = 5¹ × 7¹ × 1061¹ × 2² × 37¹ × 251¹
LCM(37135,37148) = 1379490980