What is the Least Common Multiple of 40832 and 40837?

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 40832 and 40837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40832 and 40837, than apply into the LCM equation.

GCF(40832,40837) = 1
LCM(40832,40837) = ( 40832 × 40837) / 1
LCM(40832,40837) = 1667456384 / 1
LCM(40832,40837) = 1667456384

Least Common Multiple (LCM) of 40832 and 40837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40832 and 40837. First we will calculate the prime factors of 40832 and 40837.

Prime Factorization of 40832

Prime Factorization of 40837

Now multiplying the highest exponent prime factors to calculate the LCM of 40832 and 40837.

LCM(40832,40837) = 2⁷ × 11¹ × 29¹ × 97¹ × 421¹
LCM(40832,40837) = 1667456384