What is the Least Common Multiple of 83968 and 83975?

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 83968 and 83975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83968 and 83975, than apply into the LCM equation.

GCF(83968,83975) = 1
LCM(83968,83975) = ( 83968 × 83975) / 1
LCM(83968,83975) = 7051212800 / 1
LCM(83968,83975) = 7051212800

Least Common Multiple (LCM) of 83968 and 83975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83968 and 83975. First we will calculate the prime factors of 83968 and 83975.

Prime Factorization of 83968

Prime Factorization of 83975

Now multiplying the highest exponent prime factors to calculate the LCM of 83968 and 83975.

LCM(83968,83975) = 2¹¹ × 41¹ × 5² × 3359¹
LCM(83968,83975) = 7051212800