What is the Least Common Multiple of 40272 and 40290?

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 40272 and 40290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40272 and 40290, than apply into the LCM equation.

GCF(40272,40290) = 6
LCM(40272,40290) = ( 40272 × 40290) / 6
LCM(40272,40290) = 1622558880 / 6
LCM(40272,40290) = 270426480

Least Common Multiple (LCM) of 40272 and 40290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40272 and 40290. First we will calculate the prime factors of 40272 and 40290.

Prime Factorization of 40272

Prime Factorization of 40290

Now multiplying the highest exponent prime factors to calculate the LCM of 40272 and 40290.

LCM(40272,40290) = 2⁴ × 3¹ × 839¹ × 5¹ × 17¹ × 79¹
LCM(40272,40290) = 270426480