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What is the Least Common Multiple of 99954 and 99968?

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 99954 and 99968 is 4996100736.

LCM(99954,99968) = 4996100736

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Least Common Multiple of 99954 and 99968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99954 and 99968, than apply into the LCM equation.

GCF(99954,99968) = 2
LCM(99954,99968) = ( 99954 × 99968) / 2
LCM(99954,99968) = 9992201472 / 2
LCM(99954,99968) = 4996100736

Least Common Multiple (LCM) of 99954 and 99968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99954 and 99968. First we will calculate the prime factors of 99954 and 99968.

Prime Factorization of 99954

Prime factors of 99954 are 2, 3, 617. Prime factorization of 99954 in exponential form is:

99954 = 21 × 34 × 6171

Prime Factorization of 99968

Prime factors of 99968 are 2, 11, 71. Prime factorization of 99968 in exponential form is:

99968 = 27 × 111 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 99954 and 99968.

LCM(99954,99968) = 27 × 34 × 6171 × 111 × 711
LCM(99954,99968) = 4996100736