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What is the Least Common Multiple of 92534 and 92546?

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 92534 and 92546 is 4281825782.

LCM(92534,92546) = 4281825782

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Least Common Multiple of 92534 and 92546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92534 and 92546, than apply into the LCM equation.

GCF(92534,92546) = 2
LCM(92534,92546) = ( 92534 × 92546) / 2
LCM(92534,92546) = 8563651564 / 2
LCM(92534,92546) = 4281825782

Least Common Multiple (LCM) of 92534 and 92546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92534 and 92546. First we will calculate the prime factors of 92534 and 92546.

Prime Factorization of 92534

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

92534 = 21 × 131 × 35591

Prime Factorization of 92546

Prime factors of 92546 are 2, 46273. Prime factorization of 92546 in exponential form is:

92546 = 21 × 462731

Now multiplying the highest exponent prime factors to calculate the LCM of 92534 and 92546.

LCM(92534,92546) = 21 × 131 × 35591 × 462731
LCM(92534,92546) = 4281825782