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What is the Least Common Multiple of 95434 and 95451?

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 95434 and 95451 is 9109270734.

LCM(95434,95451) = 9109270734

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Least Common Multiple of 95434 and 95451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95434 and 95451, than apply into the LCM equation.

GCF(95434,95451) = 1
LCM(95434,95451) = ( 95434 × 95451) / 1
LCM(95434,95451) = 9109270734 / 1
LCM(95434,95451) = 9109270734

Least Common Multiple (LCM) of 95434 and 95451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95434 and 95451. First we will calculate the prime factors of 95434 and 95451.

Prime Factorization of 95434

Prime factors of 95434 are 2, 47717. Prime factorization of 95434 in exponential form is:

95434 = 21 × 477171

Prime Factorization of 95451

Prime factors of 95451 are 3, 31817. Prime factorization of 95451 in exponential form is:

95451 = 31 × 318171

Now multiplying the highest exponent prime factors to calculate the LCM of 95434 and 95451.

LCM(95434,95451) = 21 × 477171 × 31 × 318171
LCM(95434,95451) = 9109270734