What is the Least Common Multiple of 37240 and 37254?

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 37240 and 37254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37240 and 37254, than apply into the LCM equation.

GCF(37240,37254) = 14
LCM(37240,37254) = ( 37240 × 37254) / 14
LCM(37240,37254) = 1387338960 / 14
LCM(37240,37254) = 99095640

Least Common Multiple (LCM) of 37240 and 37254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37240 and 37254. First we will calculate the prime factors of 37240 and 37254.

Prime Factorization of 37240

Prime Factorization of 37254

Now multiplying the highest exponent prime factors to calculate the LCM of 37240 and 37254.

LCM(37240,37254) = 2³ × 5¹ × 7² × 19¹ × 3¹ × 887¹
LCM(37240,37254) = 99095640