What is the Least Common Multiple of 47355 and 47374?

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 47355 and 47374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47355 and 47374, than apply into the LCM equation.

GCF(47355,47374) = 1
LCM(47355,47374) = ( 47355 × 47374) / 1
LCM(47355,47374) = 2243395770 / 1
LCM(47355,47374) = 2243395770

Least Common Multiple (LCM) of 47355 and 47374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47355 and 47374. First we will calculate the prime factors of 47355 and 47374.

Prime Factorization of 47355

Prime Factorization of 47374

Now multiplying the highest exponent prime factors to calculate the LCM of 47355 and 47374.

LCM(47355,47374) = 3¹ × 5¹ × 7¹ × 11¹ × 41¹ × 2¹ × 23687¹
LCM(47355,47374) = 2243395770