What is the Least Common Multiple of 37568 and 37577?

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 37568 and 37577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37568 and 37577, than apply into the LCM equation.

GCF(37568,37577) = 1
LCM(37568,37577) = ( 37568 × 37577) / 1
LCM(37568,37577) = 1411692736 / 1
LCM(37568,37577) = 1411692736

Least Common Multiple (LCM) of 37568 and 37577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37568 and 37577. First we will calculate the prime factors of 37568 and 37577.

Prime Factorization of 37568

Prime Factorization of 37577

Now multiplying the highest exponent prime factors to calculate the LCM of 37568 and 37577.

LCM(37568,37577) = 2⁶ × 587¹ × 53¹ × 709¹
LCM(37568,37577) = 1411692736