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What is the Least Common Multiple of 29604 and 29608?

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 29604 and 29608 is 219128808.

LCM(29604,29608) = 219128808

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Least Common Multiple of 29604 and 29608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29604 and 29608, than apply into the LCM equation.

GCF(29604,29608) = 4
LCM(29604,29608) = ( 29604 × 29608) / 4
LCM(29604,29608) = 876515232 / 4
LCM(29604,29608) = 219128808

Least Common Multiple (LCM) of 29604 and 29608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29604 and 29608. First we will calculate the prime factors of 29604 and 29608.

Prime Factorization of 29604

Prime factors of 29604 are 2, 3, 2467. Prime factorization of 29604 in exponential form is:

29604 = 22 × 31 × 24671

Prime Factorization of 29608

Prime factors of 29608 are 2, 3701. Prime factorization of 29608 in exponential form is:

29608 = 23 × 37011

Now multiplying the highest exponent prime factors to calculate the LCM of 29604 and 29608.

LCM(29604,29608) = 23 × 31 × 24671 × 37011
LCM(29604,29608) = 219128808