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What is the Least Common Multiple of 29812 and 29828?

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 29812 and 29828 is 222308084.

LCM(29812,29828) = 222308084

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Least Common Multiple of 29812 and 29828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29812 and 29828, than apply into the LCM equation.

GCF(29812,29828) = 4
LCM(29812,29828) = ( 29812 × 29828) / 4
LCM(29812,29828) = 889232336 / 4
LCM(29812,29828) = 222308084

Least Common Multiple (LCM) of 29812 and 29828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29812 and 29828. First we will calculate the prime factors of 29812 and 29828.

Prime Factorization of 29812

Prime factors of 29812 are 2, 29, 257. Prime factorization of 29812 in exponential form is:

29812 = 22 × 291 × 2571

Prime Factorization of 29828

Prime factors of 29828 are 2, 7457. Prime factorization of 29828 in exponential form is:

29828 = 22 × 74571

Now multiplying the highest exponent prime factors to calculate the LCM of 29812 and 29828.

LCM(29812,29828) = 22 × 291 × 2571 × 74571
LCM(29812,29828) = 222308084