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What is the Least Common Multiple of 95701 and 95705?

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 95701 and 95705 is 9159064205.

LCM(95701,95705) = 9159064205

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Least Common Multiple of 95701 and 95705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95701 and 95705, than apply into the LCM equation.

GCF(95701,95705) = 1
LCM(95701,95705) = ( 95701 × 95705) / 1
LCM(95701,95705) = 9159064205 / 1
LCM(95701,95705) = 9159064205

Least Common Multiple (LCM) of 95701 and 95705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95701 and 95705. First we will calculate the prime factors of 95701 and 95705.

Prime Factorization of 95701

Prime factors of 95701 are 95701. Prime factorization of 95701 in exponential form is:

95701 = 957011

Prime Factorization of 95705

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

95705 = 51 × 191411

Now multiplying the highest exponent prime factors to calculate the LCM of 95701 and 95705.

LCM(95701,95705) = 957011 × 51 × 191411
LCM(95701,95705) = 9159064205