What is the Least Common Multiple of 47304 and 47314?

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 47304 and 47314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47304 and 47314, than apply into the LCM equation.

GCF(47304,47314) = 2
LCM(47304,47314) = ( 47304 × 47314) / 2
LCM(47304,47314) = 2238141456 / 2
LCM(47304,47314) = 1119070728

Least Common Multiple (LCM) of 47304 and 47314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47304 and 47314. First we will calculate the prime factors of 47304 and 47314.

Prime Factorization of 47304

Prime Factorization of 47314

Now multiplying the highest exponent prime factors to calculate the LCM of 47304 and 47314.

LCM(47304,47314) = 2³ × 3⁴ × 73¹ × 41¹ × 577¹
LCM(47304,47314) = 1119070728