What is the Least Common Multiple of 67272 and 67281?

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 67272 and 67281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67272 and 67281, than apply into the LCM equation.

GCF(67272,67281) = 3
LCM(67272,67281) = ( 67272 × 67281) / 3
LCM(67272,67281) = 4526127432 / 3
LCM(67272,67281) = 1508709144

Least Common Multiple (LCM) of 67272 and 67281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67272 and 67281. First we will calculate the prime factors of 67272 and 67281.

Prime Factorization of 67272

Prime Factorization of 67281

Now multiplying the highest exponent prime factors to calculate the LCM of 67272 and 67281.

LCM(67272,67281) = 2³ × 3¹ × 2803¹ × 41¹ × 547¹
LCM(67272,67281) = 1508709144