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What is the Least Common Multiple of 5415 and 5419?

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 5415 and 5419 is 29343885.

LCM(5415,5419) = 29343885

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Least Common Multiple of 5415 and 5419 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5415 and 5419, than apply into the LCM equation.

GCF(5415,5419) = 1
LCM(5415,5419) = ( 5415 × 5419) / 1
LCM(5415,5419) = 29343885 / 1
LCM(5415,5419) = 29343885

Least Common Multiple (LCM) of 5415 and 5419 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5415 and 5419. First we will calculate the prime factors of 5415 and 5419.

Prime Factorization of 5415

Prime factors of 5415 are 3, 5, 19. Prime factorization of 5415 in exponential form is:

5415 = 31 × 51 × 192

Prime Factorization of 5419

Prime factors of 5419 are 5419. Prime factorization of 5419 in exponential form is:

5419 = 54191

Now multiplying the highest exponent prime factors to calculate the LCM of 5415 and 5419.

LCM(5415,5419) = 31 × 51 × 192 × 54191
LCM(5415,5419) = 29343885