What is the Least Common Multiple of 4746 and 4760?

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 4760 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 4760, than apply into the LCM equation.

GCF(4746,4760) = 14
LCM(4746,4760) = ( 4746 × 4760) / 14
LCM(4746,4760) = 22590960 / 14
LCM(4746,4760) = 1613640

Least Common Multiple (LCM) of 4746 and 4760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4746 and 4760. First we will calculate the prime factors of 4746 and 4760.

Prime Factorization of 4746

Prime Factorization of 4760

Now multiplying the highest exponent prime factors to calculate the LCM of 4746 and 4760.

LCM(4746,4760) = 2³ × 3¹ × 7¹ × 113¹ × 5¹ × 17¹
LCM(4746,4760) = 1613640