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What is the Least Common Multiple of 92638 and 92653?

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 92638 and 92653 is 8583188614.

LCM(92638,92653) = 8583188614

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Least Common Multiple of 92638 and 92653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92638 and 92653, than apply into the LCM equation.

GCF(92638,92653) = 1
LCM(92638,92653) = ( 92638 × 92653) / 1
LCM(92638,92653) = 8583188614 / 1
LCM(92638,92653) = 8583188614

Least Common Multiple (LCM) of 92638 and 92653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92638 and 92653. First we will calculate the prime factors of 92638 and 92653.

Prime Factorization of 92638

Prime factors of 92638 are 2, 7, 13, 509. Prime factorization of 92638 in exponential form is:

92638 = 21 × 71 × 131 × 5091

Prime Factorization of 92653

Prime factors of 92653 are 11, 8423. Prime factorization of 92653 in exponential form is:

92653 = 111 × 84231

Now multiplying the highest exponent prime factors to calculate the LCM of 92638 and 92653.

LCM(92638,92653) = 21 × 71 × 131 × 5091 × 111 × 84231
LCM(92638,92653) = 8583188614