What is the Least Common Multiple of 10272 and 10282?

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 10272 and 10282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10272 and 10282, than apply into the LCM equation.

GCF(10272,10282) = 2
LCM(10272,10282) = ( 10272 × 10282) / 2
LCM(10272,10282) = 105616704 / 2
LCM(10272,10282) = 52808352

Least Common Multiple (LCM) of 10272 and 10282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10272 and 10282. First we will calculate the prime factors of 10272 and 10282.

Prime Factorization of 10272

Prime Factorization of 10282

Now multiplying the highest exponent prime factors to calculate the LCM of 10272 and 10282.

LCM(10272,10282) = 2⁵ × 3¹ × 107¹ × 53¹ × 97¹
LCM(10272,10282) = 52808352