What is the Least Common Multiple of 37009 and 37013?

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 37009 and 37013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37009 and 37013, than apply into the LCM equation.

GCF(37009,37013) = 1
LCM(37009,37013) = ( 37009 × 37013) / 1
LCM(37009,37013) = 1369814117 / 1
LCM(37009,37013) = 1369814117

Least Common Multiple (LCM) of 37009 and 37013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37009 and 37013. First we will calculate the prime factors of 37009 and 37013.

Prime Factorization of 37009

Prime Factorization of 37013

Now multiplying the highest exponent prime factors to calculate the LCM of 37009 and 37013.

LCM(37009,37013) = 7¹ × 17¹ × 311¹ × 37013¹
LCM(37009,37013) = 1369814117