What is the Least Common Multiple of 40215 and 40226?

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 40215 and 40226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40215 and 40226, than apply into the LCM equation.

GCF(40215,40226) = 1
LCM(40215,40226) = ( 40215 × 40226) / 1
LCM(40215,40226) = 1617688590 / 1
LCM(40215,40226) = 1617688590

Least Common Multiple (LCM) of 40215 and 40226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40215 and 40226. First we will calculate the prime factors of 40215 and 40226.

Prime Factorization of 40215

Prime Factorization of 40226

Now multiplying the highest exponent prime factors to calculate the LCM of 40215 and 40226.

LCM(40215,40226) = 3¹ × 5¹ × 7¹ × 383¹ × 2¹ × 20113¹
LCM(40215,40226) = 1617688590