What is the Least Common Multiple of 4830 and 4848?

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 4830 and 4848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4830 and 4848, than apply into the LCM equation.

GCF(4830,4848) = 6
LCM(4830,4848) = ( 4830 × 4848) / 6
LCM(4830,4848) = 23415840 / 6
LCM(4830,4848) = 3902640

Least Common Multiple (LCM) of 4830 and 4848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4830 and 4848. First we will calculate the prime factors of 4830 and 4848.

Prime Factorization of 4830

Prime Factorization of 4848

Now multiplying the highest exponent prime factors to calculate the LCM of 4830 and 4848.

LCM(4830,4848) = 2⁴ × 3¹ × 5¹ × 7¹ × 23¹ × 101¹
LCM(4830,4848) = 3902640