What is the Least Common Multiple of 48969 and 48978?

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 48969 and 48978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48969 and 48978, than apply into the LCM equation.

GCF(48969,48978) = 9
LCM(48969,48978) = ( 48969 × 48978) / 9
LCM(48969,48978) = 2398403682 / 9
LCM(48969,48978) = 266489298

Least Common Multiple (LCM) of 48969 and 48978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48969 and 48978. First we will calculate the prime factors of 48969 and 48978.

Prime Factorization of 48969

Prime Factorization of 48978

Now multiplying the highest exponent prime factors to calculate the LCM of 48969 and 48978.

LCM(48969,48978) = 3³ × 5441¹ × 2¹ × 907¹
LCM(48969,48978) = 266489298