What is the Least Common Multiple of 36997 and 37001?

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 36997 and 37001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36997 and 37001, than apply into the LCM equation.

GCF(36997,37001) = 1
LCM(36997,37001) = ( 36997 × 37001) / 1
LCM(36997,37001) = 1368925997 / 1
LCM(36997,37001) = 1368925997

Least Common Multiple (LCM) of 36997 and 37001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36997 and 37001. First we will calculate the prime factors of 36997 and 37001.

Prime Factorization of 36997

Prime Factorization of 37001

Now multiplying the highest exponent prime factors to calculate the LCM of 36997 and 37001.

LCM(36997,37001) = 36997¹ × 163¹ × 227¹
LCM(36997,37001) = 1368925997