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What is the Least Common Multiple of 95470 and 95481?

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 95470 and 95481 is 9115571070.

LCM(95470,95481) = 9115571070

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Least Common Multiple of 95470 and 95481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95470 and 95481, than apply into the LCM equation.

GCF(95470,95481) = 1
LCM(95470,95481) = ( 95470 × 95481) / 1
LCM(95470,95481) = 9115571070 / 1
LCM(95470,95481) = 9115571070

Least Common Multiple (LCM) of 95470 and 95481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95470 and 95481. First we will calculate the prime factors of 95470 and 95481.

Prime Factorization of 95470

Prime factors of 95470 are 2, 5, 9547. Prime factorization of 95470 in exponential form is:

95470 = 21 × 51 × 95471

Prime Factorization of 95481

Prime factors of 95481 are 3, 103. Prime factorization of 95481 in exponential form is:

95481 = 32 × 1032

Now multiplying the highest exponent prime factors to calculate the LCM of 95470 and 95481.

LCM(95470,95481) = 21 × 51 × 95471 × 32 × 1032
LCM(95470,95481) = 9115571070