What is the Least Common Multiple of 68472 and 68487?

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 68472 and 68487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68472 and 68487, than apply into the LCM equation.

GCF(68472,68487) = 3
LCM(68472,68487) = ( 68472 × 68487) / 3
LCM(68472,68487) = 4689441864 / 3
LCM(68472,68487) = 1563147288

Least Common Multiple (LCM) of 68472 and 68487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68472 and 68487. First we will calculate the prime factors of 68472 and 68487.

Prime Factorization of 68472

Prime Factorization of 68487

Now multiplying the highest exponent prime factors to calculate the LCM of 68472 and 68487.

LCM(68472,68487) = 2³ × 3³ × 317¹ × 37¹ × 617¹
LCM(68472,68487) = 1563147288