What is the Least Common Multiple of 37280 and 37291?

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 37291 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 37291, than apply into the LCM equation.

GCF(37280,37291) = 1
LCM(37280,37291) = ( 37280 × 37291) / 1
LCM(37280,37291) = 1390208480 / 1
LCM(37280,37291) = 1390208480

Least Common Multiple (LCM) of 37280 and 37291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37280 and 37291. First we will calculate the prime factors of 37280 and 37291.

Prime Factorization of 37280

Prime Factorization of 37291

Now multiplying the highest exponent prime factors to calculate the LCM of 37280 and 37291.

LCM(37280,37291) = 2⁵ × 5¹ × 233¹ × 89¹ × 419¹
LCM(37280,37291) = 1390208480