What is the Least Common Multiple of 47292 and 47306?

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 47292 and 47306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47292 and 47306, than apply into the LCM equation.

GCF(47292,47306) = 14
LCM(47292,47306) = ( 47292 × 47306) / 14
LCM(47292,47306) = 2237195352 / 14
LCM(47292,47306) = 159799668

Least Common Multiple (LCM) of 47292 and 47306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47292 and 47306. First we will calculate the prime factors of 47292 and 47306.

Prime Factorization of 47292

Prime Factorization of 47306

Now multiplying the highest exponent prime factors to calculate the LCM of 47292 and 47306.

LCM(47292,47306) = 2² × 3¹ × 7¹ × 563¹ × 31¹ × 109¹
LCM(47292,47306) = 159799668