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What is the Least Common Multiple of 85273 and 85286?

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 85273 and 85286 is 7272593078.

LCM(85273,85286) = 7272593078

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Least Common Multiple of 85273 and 85286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85273 and 85286, than apply into the LCM equation.

GCF(85273,85286) = 1
LCM(85273,85286) = ( 85273 × 85286) / 1
LCM(85273,85286) = 7272593078 / 1
LCM(85273,85286) = 7272593078

Least Common Multiple (LCM) of 85273 and 85286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85273 and 85286. First we will calculate the prime factors of 85273 and 85286.

Prime Factorization of 85273

Prime factors of 85273 are 269, 317. Prime factorization of 85273 in exponential form is:

85273 = 2691 × 3171

Prime Factorization of 85286

Prime factors of 85286 are 2, 42643. Prime factorization of 85286 in exponential form is:

85286 = 21 × 426431

Now multiplying the highest exponent prime factors to calculate the LCM of 85273 and 85286.

LCM(85273,85286) = 2691 × 3171 × 21 × 426431
LCM(85273,85286) = 7272593078