What is the Least Common Multiple of 71272 and 71286?

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 71272 and 71286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71272 and 71286, than apply into the LCM equation.

GCF(71272,71286) = 2
LCM(71272,71286) = ( 71272 × 71286) / 2
LCM(71272,71286) = 5080695792 / 2
LCM(71272,71286) = 2540347896

Least Common Multiple (LCM) of 71272 and 71286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71272 and 71286. First we will calculate the prime factors of 71272 and 71286.

Prime Factorization of 71272

Prime Factorization of 71286

Now multiplying the highest exponent prime factors to calculate the LCM of 71272 and 71286.

LCM(71272,71286) = 2³ × 59¹ × 151¹ × 3¹ × 109²
LCM(71272,71286) = 2540347896