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What is the Least Common Multiple of 29626 and 29630?

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 29626 and 29630 is 438909190.

LCM(29626,29630) = 438909190

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Least Common Multiple of 29626 and 29630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29626 and 29630, than apply into the LCM equation.

GCF(29626,29630) = 2
LCM(29626,29630) = ( 29626 × 29630) / 2
LCM(29626,29630) = 877818380 / 2
LCM(29626,29630) = 438909190

Least Common Multiple (LCM) of 29626 and 29630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29626 and 29630. First we will calculate the prime factors of 29626 and 29630.

Prime Factorization of 29626

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

29626 = 21 × 148131

Prime Factorization of 29630

Prime factors of 29630 are 2, 5, 2963. Prime factorization of 29630 in exponential form is:

29630 = 21 × 51 × 29631

Now multiplying the highest exponent prime factors to calculate the LCM of 29626 and 29630.

LCM(29626,29630) = 21 × 148131 × 51 × 29631
LCM(29626,29630) = 438909190