What is the Least Common Multiple of 68435 and 68443?

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 68435 and 68443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68435 and 68443, than apply into the LCM equation.

GCF(68435,68443) = 1
LCM(68435,68443) = ( 68435 × 68443) / 1
LCM(68435,68443) = 4683896705 / 1
LCM(68435,68443) = 4683896705

Least Common Multiple (LCM) of 68435 and 68443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68435 and 68443. First we will calculate the prime factors of 68435 and 68443.

Prime Factorization of 68435

Prime Factorization of 68443

Now multiplying the highest exponent prime factors to calculate the LCM of 68435 and 68443.

LCM(68435,68443) = 5¹ × 13687¹ × 68443¹
LCM(68435,68443) = 4683896705