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What is the Least Common Multiple of 95666 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 95666 and 95670 is 4576183110.

LCM(95666,95670) = 4576183110

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Least Common Multiple of 95666 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 95666 and 95670, than apply into the LCM equation.

GCF(95666,95670) = 2
LCM(95666,95670) = ( 95666 × 95670) / 2
LCM(95666,95670) = 9152366220 / 2
LCM(95666,95670) = 4576183110

Least Common Multiple (LCM) of 95666 and 95670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95666 and 95670. First we will calculate the prime factors of 95666 and 95670.

Prime Factorization of 95666

Prime factors of 95666 are 2, 31, 1543. Prime factorization of 95666 in exponential form is:

95666 = 21 × 311 × 15431

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 95666 and 95670.

LCM(95666,95670) = 21 × 311 × 15431 × 32 × 51 × 10631
LCM(95666,95670) = 4576183110