What is the Least Common Multiple of 64272 and 64284?

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 64284 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 64284, than apply into the LCM equation.

GCF(64272,64284) = 12
LCM(64272,64284) = ( 64272 × 64284) / 12
LCM(64272,64284) = 4131661248 / 12
LCM(64272,64284) = 344305104

Least Common Multiple (LCM) of 64272 and 64284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64272 and 64284. First we will calculate the prime factors of 64272 and 64284.

Prime Factorization of 64272

Prime Factorization of 64284

Now multiplying the highest exponent prime factors to calculate the LCM of 64272 and 64284.

LCM(64272,64284) = 2⁴ × 3¹ × 13¹ × 103¹ × 11¹ × 487¹
LCM(64272,64284) = 344305104