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What is the Least Common Multiple of 29862 and 29868?

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 29862 and 29868 is 148653036.

LCM(29862,29868) = 148653036

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Least Common Multiple of 29862 and 29868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29862 and 29868, than apply into the LCM equation.

GCF(29862,29868) = 6
LCM(29862,29868) = ( 29862 × 29868) / 6
LCM(29862,29868) = 891918216 / 6
LCM(29862,29868) = 148653036

Least Common Multiple (LCM) of 29862 and 29868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29862 and 29868. First we will calculate the prime factors of 29862 and 29868.

Prime Factorization of 29862

Prime factors of 29862 are 2, 3, 7, 79. Prime factorization of 29862 in exponential form is:

29862 = 21 × 33 × 71 × 791

Prime Factorization of 29868

Prime factors of 29868 are 2, 3, 19, 131. Prime factorization of 29868 in exponential form is:

29868 = 22 × 31 × 191 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 29862 and 29868.

LCM(29862,29868) = 22 × 33 × 71 × 791 × 191 × 1311
LCM(29862,29868) = 148653036