What is the Least Common Multiple of 47685 and 47697?

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 47685 and 47697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47685 and 47697, than apply into the LCM equation.

GCF(47685,47697) = 3
LCM(47685,47697) = ( 47685 × 47697) / 3
LCM(47685,47697) = 2274431445 / 3
LCM(47685,47697) = 758143815

Least Common Multiple (LCM) of 47685 and 47697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47685 and 47697. First we will calculate the prime factors of 47685 and 47697.

Prime Factorization of 47685

Prime Factorization of 47697

Now multiplying the highest exponent prime factors to calculate the LCM of 47685 and 47697.

LCM(47685,47697) = 3¹ × 5¹ × 11¹ × 17² × 13¹ × 1223¹
LCM(47685,47697) = 758143815