What is the Least Common Multiple of 40254 and 40272?

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 40254 and 40272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40254 and 40272, than apply into the LCM equation.

GCF(40254,40272) = 6
LCM(40254,40272) = ( 40254 × 40272) / 6
LCM(40254,40272) = 1621109088 / 6
LCM(40254,40272) = 270184848

Least Common Multiple (LCM) of 40254 and 40272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40254 and 40272. First we will calculate the prime factors of 40254 and 40272.

Prime Factorization of 40254

Prime Factorization of 40272

Now multiplying the highest exponent prime factors to calculate the LCM of 40254 and 40272.

LCM(40254,40272) = 2⁴ × 3¹ × 6709¹ × 839¹
LCM(40254,40272) = 270184848