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What is the Least Common Multiple of 95290 and 95308?

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 95290 and 95308 is 4540949660.

LCM(95290,95308) = 4540949660

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Least Common Multiple of 95290 and 95308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95290 and 95308, than apply into the LCM equation.

GCF(95290,95308) = 2
LCM(95290,95308) = ( 95290 × 95308) / 2
LCM(95290,95308) = 9081899320 / 2
LCM(95290,95308) = 4540949660

Least Common Multiple (LCM) of 95290 and 95308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95290 and 95308. First we will calculate the prime factors of 95290 and 95308.

Prime Factorization of 95290

Prime factors of 95290 are 2, 5, 13, 733. Prime factorization of 95290 in exponential form is:

95290 = 21 × 51 × 131 × 7331

Prime Factorization of 95308

Prime factors of 95308 are 2, 23827. Prime factorization of 95308 in exponential form is:

95308 = 22 × 238271

Now multiplying the highest exponent prime factors to calculate the LCM of 95290 and 95308.

LCM(95290,95308) = 22 × 51 × 131 × 7331 × 238271
LCM(95290,95308) = 4540949660