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What is the Least Common Multiple of 11419 and 11435?

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 11419 and 11435 is 130576265.

LCM(11419,11435) = 130576265

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Least Common Multiple of 11419 and 11435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11419 and 11435, than apply into the LCM equation.

GCF(11419,11435) = 1
LCM(11419,11435) = ( 11419 × 11435) / 1
LCM(11419,11435) = 130576265 / 1
LCM(11419,11435) = 130576265

Least Common Multiple (LCM) of 11419 and 11435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11419 and 11435. First we will calculate the prime factors of 11419 and 11435.

Prime Factorization of 11419

Prime factors of 11419 are 19, 601. Prime factorization of 11419 in exponential form is:

11419 = 191 × 6011

Prime Factorization of 11435

Prime factors of 11435 are 5, 2287. Prime factorization of 11435 in exponential form is:

11435 = 51 × 22871

Now multiplying the highest exponent prime factors to calculate the LCM of 11419 and 11435.

LCM(11419,11435) = 191 × 6011 × 51 × 22871
LCM(11419,11435) = 130576265