What is the Least Common Multiple of 37120 and 37133?

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 37120 and 37133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37120 and 37133, than apply into the LCM equation.

GCF(37120,37133) = 1
LCM(37120,37133) = ( 37120 × 37133) / 1
LCM(37120,37133) = 1378376960 / 1
LCM(37120,37133) = 1378376960

Least Common Multiple (LCM) of 37120 and 37133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37120 and 37133. First we will calculate the prime factors of 37120 and 37133.

Prime Factorization of 37120

Prime Factorization of 37133

Now multiplying the highest exponent prime factors to calculate the LCM of 37120 and 37133.

LCM(37120,37133) = 2⁸ × 5¹ × 29¹ × 71¹ × 523¹
LCM(37120,37133) = 1378376960