What is the Least Common Multiple of 37038 and 37043?

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 37038 and 37043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37038 and 37043, than apply into the LCM equation.

GCF(37038,37043) = 1
LCM(37038,37043) = ( 37038 × 37043) / 1
LCM(37038,37043) = 1371998634 / 1
LCM(37038,37043) = 1371998634

Least Common Multiple (LCM) of 37038 and 37043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37038 and 37043. First we will calculate the prime factors of 37038 and 37043.

Prime Factorization of 37038

Prime Factorization of 37043

Now multiplying the highest exponent prime factors to calculate the LCM of 37038 and 37043.

LCM(37038,37043) = 2¹ × 3¹ × 6173¹ × 17¹ × 2179¹
LCM(37038,37043) = 1371998634