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What is the Least Common Multiple of 95663 and 95670?

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 95663 and 95670 is 9152079210.

LCM(95663,95670) = 9152079210

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Least Common Multiple of 95663 and 95670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95663 and 95670, than apply into the LCM equation.

GCF(95663,95670) = 1
LCM(95663,95670) = ( 95663 × 95670) / 1
LCM(95663,95670) = 9152079210 / 1
LCM(95663,95670) = 9152079210

Least Common Multiple (LCM) of 95663 and 95670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95663 and 95670. First we will calculate the prime factors of 95663 and 95670.

Prime Factorization of 95663

Prime factors of 95663 are 271, 353. Prime factorization of 95663 in exponential form is:

95663 = 2711 × 3531

Prime Factorization of 95670

Prime factors of 95670 are 2, 3, 5, 1063. Prime factorization of 95670 in exponential form is:

95670 = 21 × 32 × 51 × 10631

Now multiplying the highest exponent prime factors to calculate the LCM of 95663 and 95670.

LCM(95663,95670) = 2711 × 3531 × 21 × 32 × 51 × 10631
LCM(95663,95670) = 9152079210