What is the Least Common Multiple of 40321 and 40330?

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 40321 and 40330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40321 and 40330, than apply into the LCM equation.

GCF(40321,40330) = 1
LCM(40321,40330) = ( 40321 × 40330) / 1
LCM(40321,40330) = 1626145930 / 1
LCM(40321,40330) = 1626145930

Least Common Multiple (LCM) of 40321 and 40330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40321 and 40330. First we will calculate the prime factors of 40321 and 40330.

Prime Factorization of 40321

Prime Factorization of 40330

Now multiplying the highest exponent prime factors to calculate the LCM of 40321 and 40330.

LCM(40321,40330) = 61¹ × 661¹ × 2¹ × 5¹ × 37¹ × 109¹
LCM(40321,40330) = 1626145930