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What is the Least Common Multiple of 29634 and 29644?

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 29634 and 29644 is 439235148.

LCM(29634,29644) = 439235148

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Least Common Multiple of 29634 and 29644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29634 and 29644, than apply into the LCM equation.

GCF(29634,29644) = 2
LCM(29634,29644) = ( 29634 × 29644) / 2
LCM(29634,29644) = 878470296 / 2
LCM(29634,29644) = 439235148

Least Common Multiple (LCM) of 29634 and 29644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29634 and 29644. First we will calculate the prime factors of 29634 and 29644.

Prime Factorization of 29634

Prime factors of 29634 are 2, 3, 11, 449. Prime factorization of 29634 in exponential form is:

29634 = 21 × 31 × 111 × 4491

Prime Factorization of 29644

Prime factors of 29644 are 2, 7411. Prime factorization of 29644 in exponential form is:

29644 = 22 × 74111

Now multiplying the highest exponent prime factors to calculate the LCM of 29634 and 29644.

LCM(29634,29644) = 22 × 31 × 111 × 4491 × 74111
LCM(29634,29644) = 439235148