What is the Least Common Multiple of 4745 and 4758?

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 4745 and 4758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4745 and 4758, than apply into the LCM equation.

GCF(4745,4758) = 13
LCM(4745,4758) = ( 4745 × 4758) / 13
LCM(4745,4758) = 22576710 / 13
LCM(4745,4758) = 1736670

Least Common Multiple (LCM) of 4745 and 4758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4745 and 4758. First we will calculate the prime factors of 4745 and 4758.

Prime Factorization of 4745

Prime Factorization of 4758

Now multiplying the highest exponent prime factors to calculate the LCM of 4745 and 4758.

LCM(4745,4758) = 5¹ × 13¹ × 73¹ × 2¹ × 3¹ × 61¹
LCM(4745,4758) = 1736670