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What is the Least Common Multiple of 95039 and 95058?

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 95039 and 95058 is 9034217262.

LCM(95039,95058) = 9034217262

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Least Common Multiple of 95039 and 95058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95039 and 95058, than apply into the LCM equation.

GCF(95039,95058) = 1
LCM(95039,95058) = ( 95039 × 95058) / 1
LCM(95039,95058) = 9034217262 / 1
LCM(95039,95058) = 9034217262

Least Common Multiple (LCM) of 95039 and 95058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95039 and 95058. First we will calculate the prime factors of 95039 and 95058.

Prime Factorization of 95039

Prime factors of 95039 are 7, 13577. Prime factorization of 95039 in exponential form is:

95039 = 71 × 135771

Prime Factorization of 95058

Prime factors of 95058 are 2, 3, 5281. Prime factorization of 95058 in exponential form is:

95058 = 21 × 32 × 52811

Now multiplying the highest exponent prime factors to calculate the LCM of 95039 and 95058.

LCM(95039,95058) = 71 × 135771 × 21 × 32 × 52811
LCM(95039,95058) = 9034217262