What is the Least Common Multiple of 47362 and 47376?

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 47362 and 47376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47362 and 47376, than apply into the LCM equation.

GCF(47362,47376) = 14
LCM(47362,47376) = ( 47362 × 47376) / 14
LCM(47362,47376) = 2243822112 / 14
LCM(47362,47376) = 160273008

Least Common Multiple (LCM) of 47362 and 47376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47362 and 47376. First we will calculate the prime factors of 47362 and 47376.

Prime Factorization of 47362

Prime Factorization of 47376

Now multiplying the highest exponent prime factors to calculate the LCM of 47362 and 47376.

LCM(47362,47376) = 2⁴ × 7¹ × 17¹ × 199¹ × 3² × 47¹
LCM(47362,47376) = 160273008