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What is the Least Common Multiple of 99046 and 99055?

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 99046 and 99055 is 9811001530.

LCM(99046,99055) = 9811001530

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Least Common Multiple of 99046 and 99055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99046 and 99055, than apply into the LCM equation.

GCF(99046,99055) = 1
LCM(99046,99055) = ( 99046 × 99055) / 1
LCM(99046,99055) = 9811001530 / 1
LCM(99046,99055) = 9811001530

Least Common Multiple (LCM) of 99046 and 99055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99046 and 99055. First we will calculate the prime factors of 99046 and 99055.

Prime Factorization of 99046

Prime factors of 99046 are 2, 49523. Prime factorization of 99046 in exponential form is:

99046 = 21 × 495231

Prime Factorization of 99055

Prime factors of 99055 are 5, 11, 1801. Prime factorization of 99055 in exponential form is:

99055 = 51 × 111 × 18011

Now multiplying the highest exponent prime factors to calculate the LCM of 99046 and 99055.

LCM(99046,99055) = 21 × 495231 × 51 × 111 × 18011
LCM(99046,99055) = 9811001530