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What is the Least Common Multiple of 16610 and 16624?

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 16610 and 16624 is 138062320.

LCM(16610,16624) = 138062320

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Least Common Multiple of 16610 and 16624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16610 and 16624, than apply into the LCM equation.

GCF(16610,16624) = 2
LCM(16610,16624) = ( 16610 × 16624) / 2
LCM(16610,16624) = 276124640 / 2
LCM(16610,16624) = 138062320

Least Common Multiple (LCM) of 16610 and 16624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16610 and 16624. First we will calculate the prime factors of 16610 and 16624.

Prime Factorization of 16610

Prime factors of 16610 are 2, 5, 11, 151. Prime factorization of 16610 in exponential form is:

16610 = 21 × 51 × 111 × 1511

Prime Factorization of 16624

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

16624 = 24 × 10391

Now multiplying the highest exponent prime factors to calculate the LCM of 16610 and 16624.

LCM(16610,16624) = 24 × 51 × 111 × 1511 × 10391
LCM(16610,16624) = 138062320