What is the Least Common Multiple of 874 and 892?

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 874 and 892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 874 and 892, than apply into the LCM equation.

GCF(874,892) = 2
LCM(874,892) = ( 874 × 892) / 2
LCM(874,892) = 779608 / 2
LCM(874,892) = 389804

Least Common Multiple (LCM) of 874 and 892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 874 and 892. First we will calculate the prime factors of 874 and 892.

Prime Factorization of 874

Prime Factorization of 892

Now multiplying the highest exponent prime factors to calculate the LCM of 874 and 892.

LCM(874,892) = 2² × 19¹ × 23¹ × 223¹
LCM(874,892) = 389804