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What is the Least Common Multiple of 95085 and 95098?

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 95085 and 95098 is 9042393330.

LCM(95085,95098) = 9042393330

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Least Common Multiple of 95085 and 95098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95085 and 95098, than apply into the LCM equation.

GCF(95085,95098) = 1
LCM(95085,95098) = ( 95085 × 95098) / 1
LCM(95085,95098) = 9042393330 / 1
LCM(95085,95098) = 9042393330

Least Common Multiple (LCM) of 95085 and 95098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95085 and 95098. First we will calculate the prime factors of 95085 and 95098.

Prime Factorization of 95085

Prime factors of 95085 are 3, 5, 2113. Prime factorization of 95085 in exponential form is:

95085 = 32 × 51 × 21131

Prime Factorization of 95098

Prime factors of 95098 are 2, 17, 2797. Prime factorization of 95098 in exponential form is:

95098 = 21 × 171 × 27971

Now multiplying the highest exponent prime factors to calculate the LCM of 95085 and 95098.

LCM(95085,95098) = 32 × 51 × 21131 × 21 × 171 × 27971
LCM(95085,95098) = 9042393330