What is the Least Common Multiple of 37149 and 37169?

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 37149 and 37169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37149 and 37169, than apply into the LCM equation.

GCF(37149,37169) = 1
LCM(37149,37169) = ( 37149 × 37169) / 1
LCM(37149,37169) = 1380791181 / 1
LCM(37149,37169) = 1380791181

Least Common Multiple (LCM) of 37149 and 37169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37149 and 37169. First we will calculate the prime factors of 37149 and 37169.

Prime Factorization of 37149

Prime Factorization of 37169

Now multiplying the highest exponent prime factors to calculate the LCM of 37149 and 37169.

LCM(37149,37169) = 3¹ × 7¹ × 29¹ × 61¹ × 11¹ × 31¹ × 109¹
LCM(37149,37169) = 1380791181