What is the Least Common Multiple of 47259 and 47278?

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 47259 and 47278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47259 and 47278, than apply into the LCM equation.

GCF(47259,47278) = 1
LCM(47259,47278) = ( 47259 × 47278) / 1
LCM(47259,47278) = 2234311002 / 1
LCM(47259,47278) = 2234311002

Least Common Multiple (LCM) of 47259 and 47278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47259 and 47278. First we will calculate the prime factors of 47259 and 47278.

Prime Factorization of 47259

Prime Factorization of 47278

Now multiplying the highest exponent prime factors to calculate the LCM of 47259 and 47278.

LCM(47259,47278) = 3² × 59¹ × 89¹ × 2¹ × 7¹ × 11¹ × 307¹
LCM(47259,47278) = 2234311002