What is the Least Common Multiple of 68016 and 68025?

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 68016 and 68025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68016 and 68025, than apply into the LCM equation.

GCF(68016,68025) = 3
LCM(68016,68025) = ( 68016 × 68025) / 3
LCM(68016,68025) = 4626788400 / 3
LCM(68016,68025) = 1542262800

Least Common Multiple (LCM) of 68016 and 68025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68016 and 68025. First we will calculate the prime factors of 68016 and 68025.

Prime Factorization of 68016

Prime Factorization of 68025

Now multiplying the highest exponent prime factors to calculate the LCM of 68016 and 68025.

LCM(68016,68025) = 2⁴ × 3¹ × 13¹ × 109¹ × 5² × 907¹
LCM(68016,68025) = 1542262800