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What is the Least Common Multiple of 29624 and 29642?

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 29624 and 29642 is 439057304.

LCM(29624,29642) = 439057304

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Least Common Multiple of 29624 and 29642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29624 and 29642, than apply into the LCM equation.

GCF(29624,29642) = 2
LCM(29624,29642) = ( 29624 × 29642) / 2
LCM(29624,29642) = 878114608 / 2
LCM(29624,29642) = 439057304

Least Common Multiple (LCM) of 29624 and 29642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29624 and 29642. First we will calculate the prime factors of 29624 and 29642.

Prime Factorization of 29624

Prime factors of 29624 are 2, 7, 23. Prime factorization of 29624 in exponential form is:

29624 = 23 × 71 × 232

Prime Factorization of 29642

Prime factors of 29642 are 2, 14821. Prime factorization of 29642 in exponential form is:

29642 = 21 × 148211

Now multiplying the highest exponent prime factors to calculate the LCM of 29624 and 29642.

LCM(29624,29642) = 23 × 71 × 232 × 148211
LCM(29624,29642) = 439057304