What is the Least Common Multiple of 4700 and 4706?

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 4700 and 4706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4700 and 4706, than apply into the LCM equation.

GCF(4700,4706) = 2
LCM(4700,4706) = ( 4700 × 4706) / 2
LCM(4700,4706) = 22118200 / 2
LCM(4700,4706) = 11059100

Least Common Multiple (LCM) of 4700 and 4706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4700 and 4706. First we will calculate the prime factors of 4700 and 4706.

Prime Factorization of 4700

Prime Factorization of 4706

Now multiplying the highest exponent prime factors to calculate the LCM of 4700 and 4706.

LCM(4700,4706) = 2² × 5² × 47¹ × 13¹ × 181¹
LCM(4700,4706) = 11059100