What is the Least Common Multiple of 83968 and 83976?

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 83976 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 83976, than apply into the LCM equation.

GCF(83968,83976) = 8
LCM(83968,83976) = ( 83968 × 83976) / 8
LCM(83968,83976) = 7051296768 / 8
LCM(83968,83976) = 881412096

Least Common Multiple (LCM) of 83968 and 83976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83968 and 83976. First we will calculate the prime factors of 83968 and 83976.

Prime Factorization of 83968

Prime Factorization of 83976

Now multiplying the highest exponent prime factors to calculate the LCM of 83968 and 83976.

LCM(83968,83976) = 2¹¹ × 41¹ × 3¹ × 3499¹
LCM(83968,83976) = 881412096