What is the Least Common Multiple of 47978 and 47991?

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 47978 and 47991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47978 and 47991, than apply into the LCM equation.

GCF(47978,47991) = 1
LCM(47978,47991) = ( 47978 × 47991) / 1
LCM(47978,47991) = 2302512198 / 1
LCM(47978,47991) = 2302512198

Least Common Multiple (LCM) of 47978 and 47991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47978 and 47991. First we will calculate the prime factors of 47978 and 47991.

Prime Factorization of 47978

Prime Factorization of 47991

Now multiplying the highest exponent prime factors to calculate the LCM of 47978 and 47991.

LCM(47978,47991) = 2¹ × 7¹ × 23¹ × 149¹ × 3¹ × 17¹ × 941¹
LCM(47978,47991) = 2302512198