What is the Least Common Multiple of 47293 and 47305?

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 47293 and 47305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47293 and 47305, than apply into the LCM equation.

GCF(47293,47305) = 1
LCM(47293,47305) = ( 47293 × 47305) / 1
LCM(47293,47305) = 2237195365 / 1
LCM(47293,47305) = 2237195365

Least Common Multiple (LCM) of 47293 and 47305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47293 and 47305. First we will calculate the prime factors of 47293 and 47305.

Prime Factorization of 47293

Prime Factorization of 47305

Now multiplying the highest exponent prime factors to calculate the LCM of 47293 and 47305.

LCM(47293,47305) = 47293¹ × 5¹ × 9461¹
LCM(47293,47305) = 2237195365