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What is the Least Common Multiple of 99052 and 99063?

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 99052 and 99063 is 9812388276.

LCM(99052,99063) = 9812388276

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Least Common Multiple of 99052 and 99063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99052 and 99063, than apply into the LCM equation.

GCF(99052,99063) = 1
LCM(99052,99063) = ( 99052 × 99063) / 1
LCM(99052,99063) = 9812388276 / 1
LCM(99052,99063) = 9812388276

Least Common Multiple (LCM) of 99052 and 99063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99052 and 99063. First we will calculate the prime factors of 99052 and 99063.

Prime Factorization of 99052

Prime factors of 99052 are 2, 24763. Prime factorization of 99052 in exponential form is:

99052 = 22 × 247631

Prime Factorization of 99063

Prime factors of 99063 are 3, 1223. Prime factorization of 99063 in exponential form is:

99063 = 34 × 12231

Now multiplying the highest exponent prime factors to calculate the LCM of 99052 and 99063.

LCM(99052,99063) = 22 × 247631 × 34 × 12231
LCM(99052,99063) = 9812388276