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What is the Least Common Multiple of 99626 and 99636?

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 99626 and 99636 is 4963168068.

LCM(99626,99636) = 4963168068

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Least Common Multiple of 99626 and 99636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99626 and 99636, than apply into the LCM equation.

GCF(99626,99636) = 2
LCM(99626,99636) = ( 99626 × 99636) / 2
LCM(99626,99636) = 9926336136 / 2
LCM(99626,99636) = 4963168068

Least Common Multiple (LCM) of 99626 and 99636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99626 and 99636. First we will calculate the prime factors of 99626 and 99636.

Prime Factorization of 99626

Prime factors of 99626 are 2, 109, 457. Prime factorization of 99626 in exponential form is:

99626 = 21 × 1091 × 4571

Prime Factorization of 99636

Prime factors of 99636 are 2, 3, 19, 23. Prime factorization of 99636 in exponential form is:

99636 = 22 × 31 × 192 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 99626 and 99636.

LCM(99626,99636) = 22 × 1091 × 4571 × 31 × 192 × 231
LCM(99626,99636) = 4963168068