What is the Least Common Multiple of 37852 and 37859?

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 37852 and 37859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37852 and 37859, than apply into the LCM equation.

GCF(37852,37859) = 1
LCM(37852,37859) = ( 37852 × 37859) / 1
LCM(37852,37859) = 1433038868 / 1
LCM(37852,37859) = 1433038868

Least Common Multiple (LCM) of 37852 and 37859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37852 and 37859. First we will calculate the prime factors of 37852 and 37859.

Prime Factorization of 37852

Prime Factorization of 37859

Now multiplying the highest exponent prime factors to calculate the LCM of 37852 and 37859.

LCM(37852,37859) = 2² × 9463¹ × 17² × 131¹
LCM(37852,37859) = 1433038868