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What is the Least Common Multiple of 51475 and 51483?

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 51475 and 51483 is 2650087425.

LCM(51475,51483) = 2650087425

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Least Common Multiple of 51475 and 51483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51475 and 51483, than apply into the LCM equation.

GCF(51475,51483) = 1
LCM(51475,51483) = ( 51475 × 51483) / 1
LCM(51475,51483) = 2650087425 / 1
LCM(51475,51483) = 2650087425

Least Common Multiple (LCM) of 51475 and 51483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51475 and 51483. First we will calculate the prime factors of 51475 and 51483.

Prime Factorization of 51475

Prime factors of 51475 are 5, 29, 71. Prime factorization of 51475 in exponential form is:

51475 = 52 × 291 × 711

Prime Factorization of 51483

Prime factors of 51483 are 3, 131. Prime factorization of 51483 in exponential form is:

51483 = 31 × 1312

Now multiplying the highest exponent prime factors to calculate the LCM of 51475 and 51483.

LCM(51475,51483) = 52 × 291 × 711 × 31 × 1312
LCM(51475,51483) = 2650087425