What is the Least Common Multiple of 37030 and 37038?

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 37030 and 37038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37030 and 37038, than apply into the LCM equation.

GCF(37030,37038) = 2
LCM(37030,37038) = ( 37030 × 37038) / 2
LCM(37030,37038) = 1371517140 / 2
LCM(37030,37038) = 685758570

Least Common Multiple (LCM) of 37030 and 37038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37030 and 37038. First we will calculate the prime factors of 37030 and 37038.

Prime Factorization of 37030

Prime Factorization of 37038

Now multiplying the highest exponent prime factors to calculate the LCM of 37030 and 37038.

LCM(37030,37038) = 2¹ × 5¹ × 7¹ × 23² × 3¹ × 6173¹
LCM(37030,37038) = 685758570