What is the Least Common Multiple of 10792 and 10812?

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 10792 and 10812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10792 and 10812, than apply into the LCM equation.

GCF(10792,10812) = 4
LCM(10792,10812) = ( 10792 × 10812) / 4
LCM(10792,10812) = 116683104 / 4
LCM(10792,10812) = 29170776

Least Common Multiple (LCM) of 10792 and 10812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10792 and 10812. First we will calculate the prime factors of 10792 and 10812.

Prime Factorization of 10792

Prime Factorization of 10812

Now multiplying the highest exponent prime factors to calculate the LCM of 10792 and 10812.

LCM(10792,10812) = 2³ × 19¹ × 71¹ × 3¹ × 17¹ × 53¹
LCM(10792,10812) = 29170776