What is the Least Common Multiple of 37014 and 37034?

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 37014 and 37034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37014 and 37034, than apply into the LCM equation.

GCF(37014,37034) = 2
LCM(37014,37034) = ( 37014 × 37034) / 2
LCM(37014,37034) = 1370776476 / 2
LCM(37014,37034) = 685388238

Least Common Multiple (LCM) of 37014 and 37034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37014 and 37034. First we will calculate the prime factors of 37014 and 37034.

Prime Factorization of 37014

Prime Factorization of 37034

Now multiplying the highest exponent prime factors to calculate the LCM of 37014 and 37034.

LCM(37014,37034) = 2¹ × 3¹ × 31¹ × 199¹ × 18517¹
LCM(37014,37034) = 685388238