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What is the Least Common Multiple of 95039 and 95047?

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 95047 is 9033171833.

LCM(95039,95047) = 9033171833

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Least Common Multiple of 95039 and 95047 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 95047, than apply into the LCM equation.

GCF(95039,95047) = 1
LCM(95039,95047) = ( 95039 × 95047) / 1
LCM(95039,95047) = 9033171833 / 1
LCM(95039,95047) = 9033171833

Least Common Multiple (LCM) of 95039 and 95047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95039 and 95047. First we will calculate the prime factors of 95039 and 95047.

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 95047

Prime factors of 95047 are 17, 5591. Prime factorization of 95047 in exponential form is:

95047 = 171 × 55911

Now multiplying the highest exponent prime factors to calculate the LCM of 95039 and 95047.

LCM(95039,95047) = 71 × 135771 × 171 × 55911
LCM(95039,95047) = 9033171833