What is the Least Common Multiple of 37023 and 37030?

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 37023 and 37030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37023 and 37030, than apply into the LCM equation.

GCF(37023,37030) = 7
LCM(37023,37030) = ( 37023 × 37030) / 7
LCM(37023,37030) = 1370961690 / 7
LCM(37023,37030) = 195851670

Least Common Multiple (LCM) of 37023 and 37030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37023 and 37030. First we will calculate the prime factors of 37023 and 37030.

Prime Factorization of 37023

Prime Factorization of 37030

Now multiplying the highest exponent prime factors to calculate the LCM of 37023 and 37030.

LCM(37023,37030) = 3¹ × 7¹ × 41¹ × 43¹ × 2¹ × 5¹ × 23²
LCM(37023,37030) = 195851670