What is the Least Common Multiple of 47906 and 47919?

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 47906 and 47919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47906 and 47919, than apply into the LCM equation.

GCF(47906,47919) = 1
LCM(47906,47919) = ( 47906 × 47919) / 1
LCM(47906,47919) = 2295607614 / 1
LCM(47906,47919) = 2295607614

Least Common Multiple (LCM) of 47906 and 47919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47906 and 47919. First we will calculate the prime factors of 47906 and 47919.

Prime Factorization of 47906

Prime Factorization of 47919

Now multiplying the highest exponent prime factors to calculate the LCM of 47906 and 47919.

LCM(47906,47919) = 2¹ × 17¹ × 1409¹ × 3¹ × 15973¹
LCM(47906,47919) = 2295607614