What is the Least Common Multiple of 36996 and 37009?

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 36996 and 37009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36996 and 37009, than apply into the LCM equation.

GCF(36996,37009) = 1
LCM(36996,37009) = ( 36996 × 37009) / 1
LCM(36996,37009) = 1369184964 / 1
LCM(36996,37009) = 1369184964

Least Common Multiple (LCM) of 36996 and 37009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36996 and 37009. First we will calculate the prime factors of 36996 and 37009.

Prime Factorization of 36996

Prime Factorization of 37009

Now multiplying the highest exponent prime factors to calculate the LCM of 36996 and 37009.

LCM(36996,37009) = 2² × 3¹ × 3083¹ × 7¹ × 17¹ × 311¹
LCM(36996,37009) = 1369184964