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What is the Least Common Multiple of 4818 and 4828?

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 4818 and 4828 is 11630652.

LCM(4818,4828) = 11630652

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Least Common Multiple of 4818 and 4828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4818 and 4828, than apply into the LCM equation.

GCF(4818,4828) = 2
LCM(4818,4828) = ( 4818 × 4828) / 2
LCM(4818,4828) = 23261304 / 2
LCM(4818,4828) = 11630652

Least Common Multiple (LCM) of 4818 and 4828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4818 and 4828. First we will calculate the prime factors of 4818 and 4828.

Prime Factorization of 4818

Prime factors of 4818 are 2, 3, 11, 73. Prime factorization of 4818 in exponential form is:

4818 = 21 × 31 × 111 × 731

Prime Factorization of 4828

Prime factors of 4828 are 2, 17, 71. Prime factorization of 4828 in exponential form is:

4828 = 22 × 171 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 4818 and 4828.

LCM(4818,4828) = 22 × 31 × 111 × 731 × 171 × 711
LCM(4818,4828) = 11630652