What is the Least Common Multiple of 37168 and 37177?

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 37168 and 37177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37168 and 37177, than apply into the LCM equation.

GCF(37168,37177) = 1
LCM(37168,37177) = ( 37168 × 37177) / 1
LCM(37168,37177) = 1381794736 / 1
LCM(37168,37177) = 1381794736

Least Common Multiple (LCM) of 37168 and 37177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37168 and 37177. First we will calculate the prime factors of 37168 and 37177.

Prime Factorization of 37168

Prime Factorization of 37177

Now multiplying the highest exponent prime factors to calculate the LCM of 37168 and 37177.

LCM(37168,37177) = 2⁴ × 23¹ × 101¹ × 7¹ × 47¹ × 113¹
LCM(37168,37177) = 1381794736