What is the Least Common Multiple of 83758 and 83768?

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 83758 and 83768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83758 and 83768, than apply into the LCM equation.

GCF(83758,83768) = 2
LCM(83758,83768) = ( 83758 × 83768) / 2
LCM(83758,83768) = 7016240144 / 2
LCM(83758,83768) = 3508120072

Least Common Multiple (LCM) of 83758 and 83768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83758 and 83768. First we will calculate the prime factors of 83758 and 83768.

Prime Factorization of 83758

Prime Factorization of 83768

Now multiplying the highest exponent prime factors to calculate the LCM of 83758 and 83768.

LCM(83758,83768) = 2³ × 41879¹ × 37¹ × 283¹
LCM(83758,83768) = 3508120072