What is the Least Common Multiple of 4842 and 4860?

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 4842 and 4860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4842 and 4860, than apply into the LCM equation.

GCF(4842,4860) = 18
LCM(4842,4860) = ( 4842 × 4860) / 18
LCM(4842,4860) = 23532120 / 18
LCM(4842,4860) = 1307340

Least Common Multiple (LCM) of 4842 and 4860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4842 and 4860. First we will calculate the prime factors of 4842 and 4860.

Prime Factorization of 4842

Prime Factorization of 4860

Now multiplying the highest exponent prime factors to calculate the LCM of 4842 and 4860.

LCM(4842,4860) = 2² × 3⁵ × 269¹ × 5¹
LCM(4842,4860) = 1307340