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What is the Least Common Multiple of 29610 and 29626?

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 29610 and 29626 is 438612930.

LCM(29610,29626) = 438612930

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Least Common Multiple of 29610 and 29626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29610 and 29626, than apply into the LCM equation.

GCF(29610,29626) = 2
LCM(29610,29626) = ( 29610 × 29626) / 2
LCM(29610,29626) = 877225860 / 2
LCM(29610,29626) = 438612930

Least Common Multiple (LCM) of 29610 and 29626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29610 and 29626. First we will calculate the prime factors of 29610 and 29626.

Prime Factorization of 29610

Prime factors of 29610 are 2, 3, 5, 7, 47. Prime factorization of 29610 in exponential form is:

29610 = 21 × 32 × 51 × 71 × 471

Prime Factorization of 29626

Prime factors of 29626 are 2, 14813. Prime factorization of 29626 in exponential form is:

29626 = 21 × 148131

Now multiplying the highest exponent prime factors to calculate the LCM of 29610 and 29626.

LCM(29610,29626) = 21 × 32 × 51 × 71 × 471 × 148131
LCM(29610,29626) = 438612930