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What is the Least Common Multiple of 85547 and 85566?

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 85547 and 85566 is 7319914602.

LCM(85547,85566) = 7319914602

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Least Common Multiple of 85547 and 85566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85547 and 85566, than apply into the LCM equation.

GCF(85547,85566) = 1
LCM(85547,85566) = ( 85547 × 85566) / 1
LCM(85547,85566) = 7319914602 / 1
LCM(85547,85566) = 7319914602

Least Common Multiple (LCM) of 85547 and 85566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85547 and 85566. First we will calculate the prime factors of 85547 and 85566.

Prime Factorization of 85547

Prime factors of 85547 are 7, 11, 101. Prime factorization of 85547 in exponential form is:

85547 = 71 × 112 × 1011

Prime Factorization of 85566

Prime factors of 85566 are 2, 3, 13, 1097. Prime factorization of 85566 in exponential form is:

85566 = 21 × 31 × 131 × 10971

Now multiplying the highest exponent prime factors to calculate the LCM of 85547 and 85566.

LCM(85547,85566) = 71 × 112 × 1011 × 21 × 31 × 131 × 10971
LCM(85547,85566) = 7319914602