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What is the Least Common Multiple of 29671 and 29688?

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 29671 and 29688 is 880872648.

LCM(29671,29688) = 880872648

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Least Common Multiple of 29671 and 29688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29671 and 29688, than apply into the LCM equation.

GCF(29671,29688) = 1
LCM(29671,29688) = ( 29671 × 29688) / 1
LCM(29671,29688) = 880872648 / 1
LCM(29671,29688) = 880872648

Least Common Multiple (LCM) of 29671 and 29688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29671 and 29688. First we will calculate the prime factors of 29671 and 29688.

Prime Factorization of 29671

Prime factors of 29671 are 29671. Prime factorization of 29671 in exponential form is:

29671 = 296711

Prime Factorization of 29688

Prime factors of 29688 are 2, 3, 1237. Prime factorization of 29688 in exponential form is:

29688 = 23 × 31 × 12371

Now multiplying the highest exponent prime factors to calculate the LCM of 29671 and 29688.

LCM(29671,29688) = 296711 × 23 × 31 × 12371
LCM(29671,29688) = 880872648