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What is the Least Common Multiple of 99965 and 99970?

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 99965 and 99970 is 1998700210.

LCM(99965,99970) = 1998700210

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Least Common Multiple of 99965 and 99970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99965 and 99970, than apply into the LCM equation.

GCF(99965,99970) = 5
LCM(99965,99970) = ( 99965 × 99970) / 5
LCM(99965,99970) = 9993501050 / 5
LCM(99965,99970) = 1998700210

Least Common Multiple (LCM) of 99965 and 99970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99965 and 99970. First we will calculate the prime factors of 99965 and 99970.

Prime Factorization of 99965

Prime factors of 99965 are 5, 19993. Prime factorization of 99965 in exponential form is:

99965 = 51 × 199931

Prime Factorization of 99970

Prime factors of 99970 are 2, 5, 13, 769. Prime factorization of 99970 in exponential form is:

99970 = 21 × 51 × 131 × 7691

Now multiplying the highest exponent prime factors to calculate the LCM of 99965 and 99970.

LCM(99965,99970) = 51 × 199931 × 21 × 131 × 7691
LCM(99965,99970) = 1998700210