What is the Least Common Multiple of 64272 and 64280?

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 64280 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 64280, than apply into the LCM equation.

GCF(64272,64280) = 8
LCM(64272,64280) = ( 64272 × 64280) / 8
LCM(64272,64280) = 4131404160 / 8
LCM(64272,64280) = 516425520

Least Common Multiple (LCM) of 64272 and 64280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64272 and 64280. First we will calculate the prime factors of 64272 and 64280.

Prime Factorization of 64272

Prime Factorization of 64280

Now multiplying the highest exponent prime factors to calculate the LCM of 64272 and 64280.

LCM(64272,64280) = 2⁴ × 3¹ × 13¹ × 103¹ × 5¹ × 1607¹
LCM(64272,64280) = 516425520