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What is the Least Common Multiple of 56075 and 56092?

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 56075 and 56092 is 3145358900.

LCM(56075,56092) = 3145358900

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Least Common Multiple of 56075 and 56092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56075 and 56092, than apply into the LCM equation.

GCF(56075,56092) = 1
LCM(56075,56092) = ( 56075 × 56092) / 1
LCM(56075,56092) = 3145358900 / 1
LCM(56075,56092) = 3145358900

Least Common Multiple (LCM) of 56075 and 56092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56075 and 56092. First we will calculate the prime factors of 56075 and 56092.

Prime Factorization of 56075

Prime factors of 56075 are 5, 2243. Prime factorization of 56075 in exponential form is:

56075 = 52 × 22431

Prime Factorization of 56092

Prime factors of 56092 are 2, 37, 379. Prime factorization of 56092 in exponential form is:

56092 = 22 × 371 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 56075 and 56092.

LCM(56075,56092) = 52 × 22431 × 22 × 371 × 3791
LCM(56075,56092) = 3145358900