What is the Least Common Multiple of 37084 and 37088?

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 37084 and 37088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37084 and 37088, than apply into the LCM equation.

GCF(37084,37088) = 4
LCM(37084,37088) = ( 37084 × 37088) / 4
LCM(37084,37088) = 1375371392 / 4
LCM(37084,37088) = 343842848

Least Common Multiple (LCM) of 37084 and 37088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37084 and 37088. First we will calculate the prime factors of 37084 and 37088.

Prime Factorization of 37084

Prime Factorization of 37088

Now multiplying the highest exponent prime factors to calculate the LCM of 37084 and 37088.

LCM(37084,37088) = 2⁵ × 73¹ × 127¹ × 19¹ × 61¹
LCM(37084,37088) = 343842848