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What is the Least Common Multiple of 16624 and 16635?

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 16624 and 16635 is 276540240.

LCM(16624,16635) = 276540240

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Least Common Multiple of 16624 and 16635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16624 and 16635, than apply into the LCM equation.

GCF(16624,16635) = 1
LCM(16624,16635) = ( 16624 × 16635) / 1
LCM(16624,16635) = 276540240 / 1
LCM(16624,16635) = 276540240

Least Common Multiple (LCM) of 16624 and 16635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16624 and 16635. First we will calculate the prime factors of 16624 and 16635.

Prime Factorization of 16624

Prime factors of 16624 are 2, 1039. Prime factorization of 16624 in exponential form is:

16624 = 24 × 10391

Prime Factorization of 16635

Prime factors of 16635 are 3, 5, 1109. Prime factorization of 16635 in exponential form is:

16635 = 31 × 51 × 11091

Now multiplying the highest exponent prime factors to calculate the LCM of 16624 and 16635.

LCM(16624,16635) = 24 × 10391 × 31 × 51 × 11091
LCM(16624,16635) = 276540240