What is the Least Common Multiple of 40239 and 40257?

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 40239 and 40257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40239 and 40257, than apply into the LCM equation.

GCF(40239,40257) = 9
LCM(40239,40257) = ( 40239 × 40257) / 9
LCM(40239,40257) = 1619901423 / 9
LCM(40239,40257) = 179989047

Least Common Multiple (LCM) of 40239 and 40257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40239 and 40257. First we will calculate the prime factors of 40239 and 40257.

Prime Factorization of 40239

Prime Factorization of 40257

Now multiplying the highest exponent prime factors to calculate the LCM of 40239 and 40257.

LCM(40239,40257) = 3⁴ × 17¹ × 263¹ × 7¹ × 71¹
LCM(40239,40257) = 179989047