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What is the Least Common Multiple of 92516 and 92534?

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 92516 and 92534 is 4280437772.

LCM(92516,92534) = 4280437772

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Least Common Multiple of 92516 and 92534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92516 and 92534, than apply into the LCM equation.

GCF(92516,92534) = 2
LCM(92516,92534) = ( 92516 × 92534) / 2
LCM(92516,92534) = 8560875544 / 2
LCM(92516,92534) = 4280437772

Least Common Multiple (LCM) of 92516 and 92534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92516 and 92534. First we will calculate the prime factors of 92516 and 92534.

Prime Factorization of 92516

Prime factors of 92516 are 2, 101, 229. Prime factorization of 92516 in exponential form is:

92516 = 22 × 1011 × 2291

Prime Factorization of 92534

Prime factors of 92534 are 2, 13, 3559. Prime factorization of 92534 in exponential form is:

92534 = 21 × 131 × 35591

Now multiplying the highest exponent prime factors to calculate the LCM of 92516 and 92534.

LCM(92516,92534) = 22 × 1011 × 2291 × 131 × 35591
LCM(92516,92534) = 4280437772