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What is the Least Common Multiple of 4836 and 4840?

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 4836 and 4840 is 5851560.

LCM(4836,4840) = 5851560

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Least Common Multiple of 4836 and 4840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4836 and 4840, than apply into the LCM equation.

GCF(4836,4840) = 4
LCM(4836,4840) = ( 4836 × 4840) / 4
LCM(4836,4840) = 23406240 / 4
LCM(4836,4840) = 5851560

Least Common Multiple (LCM) of 4836 and 4840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4836 and 4840. First we will calculate the prime factors of 4836 and 4840.

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

Prime Factorization of 4840

Prime factors of 4840 are 2, 5, 11. Prime factorization of 4840 in exponential form is:

4840 = 23 × 51 × 112

Now multiplying the highest exponent prime factors to calculate the LCM of 4836 and 4840.

LCM(4836,4840) = 23 × 31 × 131 × 311 × 51 × 112
LCM(4836,4840) = 5851560