What is the Least Common Multiple of 4746 and 4754?

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 4746 and 4754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4746 and 4754, than apply into the LCM equation.

GCF(4746,4754) = 2
LCM(4746,4754) = ( 4746 × 4754) / 2
LCM(4746,4754) = 22562484 / 2
LCM(4746,4754) = 11281242

Least Common Multiple (LCM) of 4746 and 4754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4746 and 4754. First we will calculate the prime factors of 4746 and 4754.

Prime Factorization of 4746

Prime Factorization of 4754

Now multiplying the highest exponent prime factors to calculate the LCM of 4746 and 4754.

LCM(4746,4754) = 2¹ × 3¹ × 7¹ × 113¹ × 2377¹
LCM(4746,4754) = 11281242