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What is the Least Common Multiple of 95292 and 95310?

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 95292 and 95310 is 504571140.

LCM(95292,95310) = 504571140

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Least Common Multiple of 95292 and 95310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95292 and 95310, than apply into the LCM equation.

GCF(95292,95310) = 18
LCM(95292,95310) = ( 95292 × 95310) / 18
LCM(95292,95310) = 9082280520 / 18
LCM(95292,95310) = 504571140

Least Common Multiple (LCM) of 95292 and 95310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95292 and 95310. First we will calculate the prime factors of 95292 and 95310.

Prime Factorization of 95292

Prime factors of 95292 are 2, 3, 2647. Prime factorization of 95292 in exponential form is:

95292 = 22 × 32 × 26471

Prime Factorization of 95310

Prime factors of 95310 are 2, 3, 5, 353. Prime factorization of 95310 in exponential form is:

95310 = 21 × 33 × 51 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 95292 and 95310.

LCM(95292,95310) = 22 × 33 × 26471 × 51 × 3531
LCM(95292,95310) = 504571140