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What is the Least Common Multiple of 4830 and 4836?

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 (LCM) of 4830 and 4836 is 3892980.

LCM(4830,4836) = 3892980

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Least Common Multiple of 4830 and 4836 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 4836, than apply into the LCM equation.

GCF(4830,4836) = 6
LCM(4830,4836) = ( 4830 × 4836) / 6
LCM(4830,4836) = 23357880 / 6
LCM(4830,4836) = 3892980

Least Common Multiple (LCM) of 4830 and 4836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4830 and 4836. First we will calculate the prime factors of 4830 and 4836.

Prime Factorization of 4830

Prime factors of 4830 are 2, 3, 5, 7, 23. Prime factorization of 4830 in exponential form is:

4830 = 21 × 31 × 51 × 71 × 231

Prime Factorization of 4836

Prime factors of 4836 are 2, 3, 13, 31. Prime factorization of 4836 in exponential form is:

4836 = 22 × 31 × 131 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 4830 and 4836.

LCM(4830,4836) = 22 × 31 × 51 × 71 × 231 × 131 × 311
LCM(4830,4836) = 3892980