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What is the Least Common Multiple of 56526 and 56542?

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 56526 and 56542 is 1598046546.

LCM(56526,56542) = 1598046546

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Least Common Multiple of 56526 and 56542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56526 and 56542, than apply into the LCM equation.

GCF(56526,56542) = 2
LCM(56526,56542) = ( 56526 × 56542) / 2
LCM(56526,56542) = 3196093092 / 2
LCM(56526,56542) = 1598046546

Least Common Multiple (LCM) of 56526 and 56542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56526 and 56542. First we will calculate the prime factors of 56526 and 56542.

Prime Factorization of 56526

Prime factors of 56526 are 2, 3, 9421. Prime factorization of 56526 in exponential form is:

56526 = 21 × 31 × 94211

Prime Factorization of 56542

Prime factors of 56542 are 2, 17, 1663. Prime factorization of 56542 in exponential form is:

56542 = 21 × 171 × 16631

Now multiplying the highest exponent prime factors to calculate the LCM of 56526 and 56542.

LCM(56526,56542) = 21 × 31 × 94211 × 171 × 16631
LCM(56526,56542) = 1598046546