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What is the Least Common Multiple of 54340 and 54358?

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 54340 and 54358 is 1476906860.

LCM(54340,54358) = 1476906860

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Least Common Multiple of 54340 and 54358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54340 and 54358, than apply into the LCM equation.

GCF(54340,54358) = 2
LCM(54340,54358) = ( 54340 × 54358) / 2
LCM(54340,54358) = 2953813720 / 2
LCM(54340,54358) = 1476906860

Least Common Multiple (LCM) of 54340 and 54358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54340 and 54358. First we will calculate the prime factors of 54340 and 54358.

Prime Factorization of 54340

Prime factors of 54340 are 2, 5, 11, 13, 19. Prime factorization of 54340 in exponential form is:

54340 = 22 × 51 × 111 × 131 × 191

Prime Factorization of 54358

Prime factors of 54358 are 2, 27179. Prime factorization of 54358 in exponential form is:

54358 = 21 × 271791

Now multiplying the highest exponent prime factors to calculate the LCM of 54340 and 54358.

LCM(54340,54358) = 22 × 51 × 111 × 131 × 191 × 271791
LCM(54340,54358) = 1476906860