What is the Least Common Multiple of 73875 and 73892?

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 73875 and 73892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73875 and 73892, than apply into the LCM equation.

GCF(73875,73892) = 1
LCM(73875,73892) = ( 73875 × 73892) / 1
LCM(73875,73892) = 5458771500 / 1
LCM(73875,73892) = 5458771500

Least Common Multiple (LCM) of 73875 and 73892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73875 and 73892. First we will calculate the prime factors of 73875 and 73892.

Prime Factorization of 73875

Prime Factorization of 73892

Now multiplying the highest exponent prime factors to calculate the LCM of 73875 and 73892.

LCM(73875,73892) = 3¹ × 5³ × 197¹ × 2² × 7² × 13¹ × 29¹
LCM(73875,73892) = 5458771500