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What is the Least Common Multiple of 85058 and 85063?

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 85058 and 85063 is 7235288654.

LCM(85058,85063) = 7235288654

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Least Common Multiple of 85058 and 85063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85058 and 85063, than apply into the LCM equation.

GCF(85058,85063) = 1
LCM(85058,85063) = ( 85058 × 85063) / 1
LCM(85058,85063) = 7235288654 / 1
LCM(85058,85063) = 7235288654

Least Common Multiple (LCM) of 85058 and 85063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85058 and 85063. First we will calculate the prime factors of 85058 and 85063.

Prime Factorization of 85058

Prime factors of 85058 are 2, 71, 599. Prime factorization of 85058 in exponential form is:

85058 = 21 × 711 × 5991

Prime Factorization of 85063

Prime factors of 85063 are 11, 19, 37. Prime factorization of 85063 in exponential form is:

85063 = 112 × 191 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 85058 and 85063.

LCM(85058,85063) = 21 × 711 × 5991 × 112 × 191 × 371
LCM(85058,85063) = 7235288654