What is the Least Common Multiple of 37280 and 37284?

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 37280 and 37284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37280 and 37284, than apply into the LCM equation.

GCF(37280,37284) = 4
LCM(37280,37284) = ( 37280 × 37284) / 4
LCM(37280,37284) = 1389947520 / 4
LCM(37280,37284) = 347486880

Least Common Multiple (LCM) of 37280 and 37284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37280 and 37284. First we will calculate the prime factors of 37280 and 37284.

Prime Factorization of 37280

Prime Factorization of 37284

Now multiplying the highest exponent prime factors to calculate the LCM of 37280 and 37284.

LCM(37280,37284) = 2⁵ × 5¹ × 233¹ × 3¹ × 13¹ × 239¹
LCM(37280,37284) = 347486880