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What is the Least Common Multiple of 29652 and 29665?

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 29652 and 29665 is 879626580.

LCM(29652,29665) = 879626580

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Least Common Multiple of 29652 and 29665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29652 and 29665, than apply into the LCM equation.

GCF(29652,29665) = 1
LCM(29652,29665) = ( 29652 × 29665) / 1
LCM(29652,29665) = 879626580 / 1
LCM(29652,29665) = 879626580

Least Common Multiple (LCM) of 29652 and 29665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29652 and 29665. First we will calculate the prime factors of 29652 and 29665.

Prime Factorization of 29652

Prime factors of 29652 are 2, 3, 7, 353. Prime factorization of 29652 in exponential form is:

29652 = 22 × 31 × 71 × 3531

Prime Factorization of 29665

Prime factors of 29665 are 5, 17, 349. Prime factorization of 29665 in exponential form is:

29665 = 51 × 171 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 29652 and 29665.

LCM(29652,29665) = 22 × 31 × 71 × 3531 × 51 × 171 × 3491
LCM(29652,29665) = 879626580