What is the Least Common Multiple of 4769 and 4781?

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 4769 and 4781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4769 and 4781, than apply into the LCM equation.

GCF(4769,4781) = 1
LCM(4769,4781) = ( 4769 × 4781) / 1
LCM(4769,4781) = 22800589 / 1
LCM(4769,4781) = 22800589

Least Common Multiple (LCM) of 4769 and 4781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4769 and 4781. First we will calculate the prime factors of 4769 and 4781.

Prime Factorization of 4769

Prime Factorization of 4781

Now multiplying the highest exponent prime factors to calculate the LCM of 4769 and 4781.

LCM(4769,4781) = 19¹ × 251¹ × 7¹ × 683¹
LCM(4769,4781) = 22800589