What is the Least Common Multiple of 68268 and 68283?

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 68268 and 68283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68268 and 68283, than apply into the LCM equation.

GCF(68268,68283) = 3
LCM(68268,68283) = ( 68268 × 68283) / 3
LCM(68268,68283) = 4661543844 / 3
LCM(68268,68283) = 1553847948

Least Common Multiple (LCM) of 68268 and 68283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68268 and 68283. First we will calculate the prime factors of 68268 and 68283.

Prime Factorization of 68268

Prime Factorization of 68283

Now multiplying the highest exponent prime factors to calculate the LCM of 68268 and 68283.

LCM(68268,68283) = 2² × 3⁵ × 5689¹ × 281¹
LCM(68268,68283) = 1553847948