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What is the Least Common Multiple of 95705 and 95713?

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 95705 and 95713 is 9160212665.

LCM(95705,95713) = 9160212665

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Least Common Multiple of 95705 and 95713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95705 and 95713, than apply into the LCM equation.

GCF(95705,95713) = 1
LCM(95705,95713) = ( 95705 × 95713) / 1
LCM(95705,95713) = 9160212665 / 1
LCM(95705,95713) = 9160212665

Least Common Multiple (LCM) of 95705 and 95713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95705 and 95713. First we will calculate the prime factors of 95705 and 95713.

Prime Factorization of 95705

Prime factors of 95705 are 5, 19141. Prime factorization of 95705 in exponential form is:

95705 = 51 × 191411

Prime Factorization of 95713

Prime factors of 95713 are 95713. Prime factorization of 95713 in exponential form is:

95713 = 957131

Now multiplying the highest exponent prime factors to calculate the LCM of 95705 and 95713.

LCM(95705,95713) = 51 × 191411 × 957131
LCM(95705,95713) = 9160212665