What is the Least Common Multiple of 4677 and 4681?

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 4677 and 4681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4677 and 4681, than apply into the LCM equation.

GCF(4677,4681) = 1
LCM(4677,4681) = ( 4677 × 4681) / 1
LCM(4677,4681) = 21893037 / 1
LCM(4677,4681) = 21893037

Least Common Multiple (LCM) of 4677 and 4681 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4677 and 4681. First we will calculate the prime factors of 4677 and 4681.

Prime Factorization of 4677

Prime Factorization of 4681

Now multiplying the highest exponent prime factors to calculate the LCM of 4677 and 4681.

LCM(4677,4681) = 3¹ × 1559¹ × 31¹ × 151¹
LCM(4677,4681) = 21893037