What is the Least Common Multiple of 10872 and 10892?

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 10872 and 10892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10872 and 10892, than apply into the LCM equation.

GCF(10872,10892) = 4
LCM(10872,10892) = ( 10872 × 10892) / 4
LCM(10872,10892) = 118417824 / 4
LCM(10872,10892) = 29604456

Least Common Multiple (LCM) of 10872 and 10892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10872 and 10892. First we will calculate the prime factors of 10872 and 10892.

Prime Factorization of 10872

Prime Factorization of 10892

Now multiplying the highest exponent prime factors to calculate the LCM of 10872 and 10892.

LCM(10872,10892) = 2³ × 3² × 151¹ × 7¹ × 389¹
LCM(10872,10892) = 29604456