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What is the Least Common Multiple of 11407 and 11419?

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 11407 and 11419 is 130256533.

LCM(11407,11419) = 130256533

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Least Common Multiple of 11407 and 11419 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11407 and 11419, than apply into the LCM equation.

GCF(11407,11419) = 1
LCM(11407,11419) = ( 11407 × 11419) / 1
LCM(11407,11419) = 130256533 / 1
LCM(11407,11419) = 130256533

Least Common Multiple (LCM) of 11407 and 11419 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11407 and 11419. First we will calculate the prime factors of 11407 and 11419.

Prime Factorization of 11407

Prime factors of 11407 are 11, 17, 61. Prime factorization of 11407 in exponential form is:

11407 = 111 × 171 × 611

Prime Factorization of 11419

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

11419 = 191 × 6011

Now multiplying the highest exponent prime factors to calculate the LCM of 11407 and 11419.

LCM(11407,11419) = 111 × 171 × 611 × 191 × 6011
LCM(11407,11419) = 130256533