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What is the Least Common Multiple of 14428 and 14435?

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 14428 and 14435 is 208268180.

LCM(14428,14435) = 208268180

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Least Common Multiple of 14428 and 14435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14428 and 14435, than apply into the LCM equation.

GCF(14428,14435) = 1
LCM(14428,14435) = ( 14428 × 14435) / 1
LCM(14428,14435) = 208268180 / 1
LCM(14428,14435) = 208268180

Least Common Multiple (LCM) of 14428 and 14435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14428 and 14435. First we will calculate the prime factors of 14428 and 14435.

Prime Factorization of 14428

Prime factors of 14428 are 2, 3607. Prime factorization of 14428 in exponential form is:

14428 = 22 × 36071

Prime Factorization of 14435

Prime factors of 14435 are 5, 2887. Prime factorization of 14435 in exponential form is:

14435 = 51 × 28871

Now multiplying the highest exponent prime factors to calculate the LCM of 14428 and 14435.

LCM(14428,14435) = 22 × 36071 × 51 × 28871
LCM(14428,14435) = 208268180