What is the Least Common Multiple of 64272 and 64282?

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 64272 and 64282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64272 and 64282, than apply into the LCM equation.

GCF(64272,64282) = 2
LCM(64272,64282) = ( 64272 × 64282) / 2
LCM(64272,64282) = 4131532704 / 2
LCM(64272,64282) = 2065766352

Least Common Multiple (LCM) of 64272 and 64282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64272 and 64282. First we will calculate the prime factors of 64272 and 64282.

Prime Factorization of 64272

Prime Factorization of 64282

Now multiplying the highest exponent prime factors to calculate the LCM of 64272 and 64282.

LCM(64272,64282) = 2⁴ × 3¹ × 13¹ × 103¹ × 32141¹
LCM(64272,64282) = 2065766352