What is the Least Common Multiple of 37138 and 37154?

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 37138 and 37154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37138 and 37154, than apply into the LCM equation.

GCF(37138,37154) = 2
LCM(37138,37154) = ( 37138 × 37154) / 2
LCM(37138,37154) = 1379825252 / 2
LCM(37138,37154) = 689912626

Least Common Multiple (LCM) of 37138 and 37154 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37138 and 37154. First we will calculate the prime factors of 37138 and 37154.

Prime Factorization of 37138

Prime Factorization of 37154

Now multiplying the highest exponent prime factors to calculate the LCM of 37138 and 37154.

LCM(37138,37154) = 2¹ × 31¹ × 599¹ × 13¹ × 1429¹
LCM(37138,37154) = 689912626