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What is the Least Common Multiple of 85141 and 85158?

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 85141 and 85158 is 7250437278.

LCM(85141,85158) = 7250437278

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Least Common Multiple of 85141 and 85158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85141 and 85158, than apply into the LCM equation.

GCF(85141,85158) = 1
LCM(85141,85158) = ( 85141 × 85158) / 1
LCM(85141,85158) = 7250437278 / 1
LCM(85141,85158) = 7250437278

Least Common Multiple (LCM) of 85141 and 85158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85141 and 85158. First we will calculate the prime factors of 85141 and 85158.

Prime Factorization of 85141

Prime factors of 85141 are 7, 12163. Prime factorization of 85141 in exponential form is:

85141 = 71 × 121631

Prime Factorization of 85158

Prime factors of 85158 are 2, 3, 19, 83. Prime factorization of 85158 in exponential form is:

85158 = 21 × 33 × 191 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 85141 and 85158.

LCM(85141,85158) = 71 × 121631 × 21 × 33 × 191 × 831
LCM(85141,85158) = 7250437278