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What is the Least Common Multiple of 14604 and 14608?

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 14604 and 14608 is 53333808.

LCM(14604,14608) = 53333808

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Least Common Multiple of 14604 and 14608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14604 and 14608, than apply into the LCM equation.

GCF(14604,14608) = 4
LCM(14604,14608) = ( 14604 × 14608) / 4
LCM(14604,14608) = 213335232 / 4
LCM(14604,14608) = 53333808

Least Common Multiple (LCM) of 14604 and 14608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14604 and 14608. First we will calculate the prime factors of 14604 and 14608.

Prime Factorization of 14604

Prime factors of 14604 are 2, 3, 1217. Prime factorization of 14604 in exponential form is:

14604 = 22 × 31 × 12171

Prime Factorization of 14608

Prime factors of 14608 are 2, 11, 83. Prime factorization of 14608 in exponential form is:

14608 = 24 × 111 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 14604 and 14608.

LCM(14604,14608) = 24 × 31 × 12171 × 111 × 831
LCM(14604,14608) = 53333808