What is the Least Common Multiple of 88961 and 88978?

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 88961 and 88978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88961 and 88978, than apply into the LCM equation.

GCF(88961,88978) = 17
LCM(88961,88978) = ( 88961 × 88978) / 17
LCM(88961,88978) = 7915571858 / 17
LCM(88961,88978) = 465621874

Least Common Multiple (LCM) of 88961 and 88978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88961 and 88978. First we will calculate the prime factors of 88961 and 88978.

Prime Factorization of 88961

Prime Factorization of 88978

Now multiplying the highest exponent prime factors to calculate the LCM of 88961 and 88978.

LCM(88961,88978) = 17¹ × 5233¹ × 2¹ × 2617¹
LCM(88961,88978) = 465621874