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What is the Least Common Multiple of 54575 and 54595?

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 54575 and 54595 is 595904425.

LCM(54575,54595) = 595904425

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Least Common Multiple of 54575 and 54595 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54575 and 54595, than apply into the LCM equation.

GCF(54575,54595) = 5
LCM(54575,54595) = ( 54575 × 54595) / 5
LCM(54575,54595) = 2979522125 / 5
LCM(54575,54595) = 595904425

Least Common Multiple (LCM) of 54575 and 54595 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54575 and 54595. First we will calculate the prime factors of 54575 and 54595.

Prime Factorization of 54575

Prime factors of 54575 are 5, 37, 59. Prime factorization of 54575 in exponential form is:

54575 = 52 × 371 × 591

Prime Factorization of 54595

Prime factors of 54595 are 5, 61, 179. Prime factorization of 54595 in exponential form is:

54595 = 51 × 611 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 54575 and 54595.

LCM(54575,54595) = 52 × 371 × 591 × 611 × 1791
LCM(54575,54595) = 595904425