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What is the Least Common Multiple of 95339 and 95354?

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 95339 and 95354 is 9090955006.

LCM(95339,95354) = 9090955006

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Least Common Multiple of 95339 and 95354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95339 and 95354, than apply into the LCM equation.

GCF(95339,95354) = 1
LCM(95339,95354) = ( 95339 × 95354) / 1
LCM(95339,95354) = 9090955006 / 1
LCM(95339,95354) = 9090955006

Least Common Multiple (LCM) of 95339 and 95354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95339 and 95354. First we will calculate the prime factors of 95339 and 95354.

Prime Factorization of 95339

Prime factors of 95339 are 95339. Prime factorization of 95339 in exponential form is:

95339 = 953391

Prime Factorization of 95354

Prime factors of 95354 are 2, 7, 139. Prime factorization of 95354 in exponential form is:

95354 = 21 × 73 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 95339 and 95354.

LCM(95339,95354) = 953391 × 21 × 73 × 1391
LCM(95339,95354) = 9090955006