What is the Least Common Multiple of 37130 and 37142?

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 37130 and 37142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37130 and 37142, than apply into the LCM equation.

GCF(37130,37142) = 2
LCM(37130,37142) = ( 37130 × 37142) / 2
LCM(37130,37142) = 1379082460 / 2
LCM(37130,37142) = 689541230

Least Common Multiple (LCM) of 37130 and 37142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37130 and 37142. First we will calculate the prime factors of 37130 and 37142.

Prime Factorization of 37130

Prime Factorization of 37142

Now multiplying the highest exponent prime factors to calculate the LCM of 37130 and 37142.

LCM(37130,37142) = 2¹ × 5¹ × 47¹ × 79¹ × 7² × 379¹
LCM(37130,37142) = 689541230