What is the Least Common Multiple of 68657 and 68669?

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 68657 and 68669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68657 and 68669, than apply into the LCM equation.

GCF(68657,68669) = 1
LCM(68657,68669) = ( 68657 × 68669) / 1
LCM(68657,68669) = 4714607533 / 1
LCM(68657,68669) = 4714607533

Least Common Multiple (LCM) of 68657 and 68669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68657 and 68669. First we will calculate the prime factors of 68657 and 68669.

Prime Factorization of 68657

Prime Factorization of 68669

Now multiplying the highest exponent prime factors to calculate the LCM of 68657 and 68669.

LCM(68657,68669) = 71¹ × 967¹ × 68669¹
LCM(68657,68669) = 4714607533