What is the Least Common Multiple of 37735 and 37747?

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 37735 and 37747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37735 and 37747, than apply into the LCM equation.

GCF(37735,37747) = 1
LCM(37735,37747) = ( 37735 × 37747) / 1
LCM(37735,37747) = 1424383045 / 1
LCM(37735,37747) = 1424383045

Least Common Multiple (LCM) of 37735 and 37747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37735 and 37747. First we will calculate the prime factors of 37735 and 37747.

Prime Factorization of 37735

Prime Factorization of 37747

Now multiplying the highest exponent prime factors to calculate the LCM of 37735 and 37747.

LCM(37735,37747) = 5¹ × 7547¹ × 37747¹
LCM(37735,37747) = 1424383045