What is the Least Common Multiple of 37856 and 37869?

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 37856 and 37869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37856 and 37869, than apply into the LCM equation.

GCF(37856,37869) = 13
LCM(37856,37869) = ( 37856 × 37869) / 13
LCM(37856,37869) = 1433568864 / 13
LCM(37856,37869) = 110274528

Least Common Multiple (LCM) of 37856 and 37869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37856 and 37869. First we will calculate the prime factors of 37856 and 37869.

Prime Factorization of 37856

Prime Factorization of 37869

Now multiplying the highest exponent prime factors to calculate the LCM of 37856 and 37869.

LCM(37856,37869) = 2⁵ × 7¹ × 13² × 3¹ × 971¹
LCM(37856,37869) = 110274528