What is the Least Common Multiple of 875 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 875 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 875 and 892, than apply into the LCM equation.

GCF(875,892) = 1
LCM(875,892) = ( 875 × 892) / 1
LCM(875,892) = 780500 / 1
LCM(875,892) = 780500

Least Common Multiple (LCM) of 875 and 892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 875 and 892. First we will calculate the prime factors of 875 and 892.

Prime Factorization of 875

Prime Factorization of 892

Now multiplying the highest exponent prime factors to calculate the LCM of 875 and 892.

LCM(875,892) = 5³ × 7¹ × 2² × 223¹
LCM(875,892) = 780500