What is the Least Common Multiple of 84875 and 84892?

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 84875 and 84892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84875 and 84892, than apply into the LCM equation.

GCF(84875,84892) = 1
LCM(84875,84892) = ( 84875 × 84892) / 1
LCM(84875,84892) = 7205208500 / 1
LCM(84875,84892) = 7205208500

Least Common Multiple (LCM) of 84875 and 84892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84875 and 84892. First we will calculate the prime factors of 84875 and 84892.

Prime Factorization of 84875

Prime Factorization of 84892

Now multiplying the highest exponent prime factors to calculate the LCM of 84875 and 84892.

LCM(84875,84892) = 5³ × 7¹ × 97¹ × 2² × 19¹ × 1117¹
LCM(84875,84892) = 7205208500