What is the Least Common Multiple of 37235 and 37240?

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 37235 and 37240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37235 and 37240, than apply into the LCM equation.

GCF(37235,37240) = 5
LCM(37235,37240) = ( 37235 × 37240) / 5
LCM(37235,37240) = 1386631400 / 5
LCM(37235,37240) = 277326280

Least Common Multiple (LCM) of 37235 and 37240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37235 and 37240. First we will calculate the prime factors of 37235 and 37240.

Prime Factorization of 37235

Prime Factorization of 37240

Now multiplying the highest exponent prime factors to calculate the LCM of 37235 and 37240.

LCM(37235,37240) = 5¹ × 11¹ × 677¹ × 2³ × 7² × 19¹
LCM(37235,37240) = 277326280