What is the Least Common Multiple of 68643 and 68661?

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 68643 and 68661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68643 and 68661, than apply into the LCM equation.

GCF(68643,68661) = 9
LCM(68643,68661) = ( 68643 × 68661) / 9
LCM(68643,68661) = 4713097023 / 9
LCM(68643,68661) = 523677447

Least Common Multiple (LCM) of 68643 and 68661 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68643 and 68661. First we will calculate the prime factors of 68643 and 68661.

Prime Factorization of 68643

Prime Factorization of 68661

Now multiplying the highest exponent prime factors to calculate the LCM of 68643 and 68661.

LCM(68643,68661) = 3³ × 29¹ × 263¹ × 2543¹
LCM(68643,68661) = 523677447