What is the Least Common Multiple of 37167 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 37167 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 37167 and 37177, than apply into the LCM equation.

GCF(37167,37177) = 1
LCM(37167,37177) = ( 37167 × 37177) / 1
LCM(37167,37177) = 1381757559 / 1
LCM(37167,37177) = 1381757559

Least Common Multiple (LCM) of 37167 and 37177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37167 and 37177. First we will calculate the prime factors of 37167 and 37177.

Prime Factorization of 37167

Prime Factorization of 37177

Now multiplying the highest exponent prime factors to calculate the LCM of 37167 and 37177.

LCM(37167,37177) = 3¹ × 13¹ × 953¹ × 7¹ × 47¹ × 113¹
LCM(37167,37177) = 1381757559