What is the Least Common Multiple of 10260 and 10272?

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 10260 and 10272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10260 and 10272, than apply into the LCM equation.

GCF(10260,10272) = 12
LCM(10260,10272) = ( 10260 × 10272) / 12
LCM(10260,10272) = 105390720 / 12
LCM(10260,10272) = 8782560

Least Common Multiple (LCM) of 10260 and 10272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10260 and 10272. First we will calculate the prime factors of 10260 and 10272.

Prime Factorization of 10260

Prime Factorization of 10272

Now multiplying the highest exponent prime factors to calculate the LCM of 10260 and 10272.

LCM(10260,10272) = 2⁵ × 3³ × 5¹ × 19¹ × 107¹
LCM(10260,10272) = 8782560