What is the Least Common Multiple of 47098 and 47116?

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 47098 and 47116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47098 and 47116, than apply into the LCM equation.

GCF(47098,47116) = 2
LCM(47098,47116) = ( 47098 × 47116) / 2
LCM(47098,47116) = 2219069368 / 2
LCM(47098,47116) = 1109534684

Least Common Multiple (LCM) of 47098 and 47116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47098 and 47116. First we will calculate the prime factors of 47098 and 47116.

Prime Factorization of 47098

Prime Factorization of 47116

Now multiplying the highest exponent prime factors to calculate the LCM of 47098 and 47116.

LCM(47098,47116) = 2² × 23549¹ × 11779¹
LCM(47098,47116) = 1109534684