What is the Least Common Multiple of 32959 and 32978?

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 32959 and 32978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32959 and 32978, than apply into the LCM equation.

GCF(32959,32978) = 1
LCM(32959,32978) = ( 32959 × 32978) / 1
LCM(32959,32978) = 1086921902 / 1
LCM(32959,32978) = 1086921902

Least Common Multiple (LCM) of 32959 and 32978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32959 and 32978. First we will calculate the prime factors of 32959 and 32978.

Prime Factorization of 32959

Prime Factorization of 32978

Now multiplying the highest exponent prime factors to calculate the LCM of 32959 and 32978.

LCM(32959,32978) = 23¹ × 1433¹ × 2¹ × 11¹ × 1499¹
LCM(32959,32978) = 1086921902