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What is the Least Common Multiple of 92563 and 92580?

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 92563 and 92580 is 8569482540.

LCM(92563,92580) = 8569482540

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Least Common Multiple of 92563 and 92580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92563 and 92580, than apply into the LCM equation.

GCF(92563,92580) = 1
LCM(92563,92580) = ( 92563 × 92580) / 1
LCM(92563,92580) = 8569482540 / 1
LCM(92563,92580) = 8569482540

Least Common Multiple (LCM) of 92563 and 92580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92563 and 92580. First we will calculate the prime factors of 92563 and 92580.

Prime Factorization of 92563

Prime factors of 92563 are 151, 613. Prime factorization of 92563 in exponential form is:

92563 = 1511 × 6131

Prime Factorization of 92580

Prime factors of 92580 are 2, 3, 5, 1543. Prime factorization of 92580 in exponential form is:

92580 = 22 × 31 × 51 × 15431

Now multiplying the highest exponent prime factors to calculate the LCM of 92563 and 92580.

LCM(92563,92580) = 1511 × 6131 × 22 × 31 × 51 × 15431
LCM(92563,92580) = 8569482540