What is the Least Common Multiple of 4750 and 4770?

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 4750 and 4770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4750 and 4770, than apply into the LCM equation.

GCF(4750,4770) = 10
LCM(4750,4770) = ( 4750 × 4770) / 10
LCM(4750,4770) = 22657500 / 10
LCM(4750,4770) = 2265750

Least Common Multiple (LCM) of 4750 and 4770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4750 and 4770. First we will calculate the prime factors of 4750 and 4770.

Prime Factorization of 4750

Prime Factorization of 4770

Now multiplying the highest exponent prime factors to calculate the LCM of 4750 and 4770.

LCM(4750,4770) = 2¹ × 5³ × 19¹ × 3² × 53¹
LCM(4750,4770) = 2265750