What is the Least Common Multiple of 4884 and 4899?

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 4884 and 4899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4884 and 4899, than apply into the LCM equation.

GCF(4884,4899) = 3
LCM(4884,4899) = ( 4884 × 4899) / 3
LCM(4884,4899) = 23926716 / 3
LCM(4884,4899) = 7975572

Least Common Multiple (LCM) of 4884 and 4899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4884 and 4899. First we will calculate the prime factors of 4884 and 4899.

Prime Factorization of 4884

Prime Factorization of 4899

Now multiplying the highest exponent prime factors to calculate the LCM of 4884 and 4899.

LCM(4884,4899) = 2² × 3¹ × 11¹ × 37¹ × 23¹ × 71¹
LCM(4884,4899) = 7975572