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What is the Least Common Multiple of 29674 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 29674 and 29688 is 440480856.

LCM(29674,29688) = 440480856

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Least Common Multiple of 29674 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 29674 and 29688, than apply into the LCM equation.

GCF(29674,29688) = 2
LCM(29674,29688) = ( 29674 × 29688) / 2
LCM(29674,29688) = 880961712 / 2
LCM(29674,29688) = 440480856

Least Common Multiple (LCM) of 29674 and 29688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29674 and 29688. First we will calculate the prime factors of 29674 and 29688.

Prime Factorization of 29674

Prime factors of 29674 are 2, 37, 401. Prime factorization of 29674 in exponential form is:

29674 = 21 × 371 × 4011

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 29674 and 29688.

LCM(29674,29688) = 23 × 371 × 4011 × 31 × 12371
LCM(29674,29688) = 440480856