What is the Least Common Multiple of 47313 and 47320?

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 47313 and 47320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47313 and 47320, than apply into the LCM equation.

GCF(47313,47320) = 7
LCM(47313,47320) = ( 47313 × 47320) / 7
LCM(47313,47320) = 2238851160 / 7
LCM(47313,47320) = 319835880

Least Common Multiple (LCM) of 47313 and 47320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47313 and 47320. First we will calculate the prime factors of 47313 and 47320.

Prime Factorization of 47313

Prime Factorization of 47320

Now multiplying the highest exponent prime factors to calculate the LCM of 47313 and 47320.

LCM(47313,47320) = 3² × 7¹ × 751¹ × 2³ × 5¹ × 13²
LCM(47313,47320) = 319835880