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What is the Least Common Multiple of 96527 and 96542?

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 96527 and 96542 is 9318909634.

LCM(96527,96542) = 9318909634

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Least Common Multiple of 96527 and 96542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96527 and 96542, than apply into the LCM equation.

GCF(96527,96542) = 1
LCM(96527,96542) = ( 96527 × 96542) / 1
LCM(96527,96542) = 9318909634 / 1
LCM(96527,96542) = 9318909634

Least Common Multiple (LCM) of 96527 and 96542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96527 and 96542. First we will calculate the prime factors of 96527 and 96542.

Prime Factorization of 96527

Prime factors of 96527 are 96527. Prime factorization of 96527 in exponential form is:

96527 = 965271

Prime Factorization of 96542

Prime factors of 96542 are 2, 48271. Prime factorization of 96542 in exponential form is:

96542 = 21 × 482711

Now multiplying the highest exponent prime factors to calculate the LCM of 96527 and 96542.

LCM(96527,96542) = 965271 × 21 × 482711
LCM(96527,96542) = 9318909634