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What is the Least Common Multiple of 10624 and 10643?

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 10624 and 10643 is 113071232.

LCM(10624,10643) = 113071232

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Least Common Multiple of 10624 and 10643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10624 and 10643, than apply into the LCM equation.

GCF(10624,10643) = 1
LCM(10624,10643) = ( 10624 × 10643) / 1
LCM(10624,10643) = 113071232 / 1
LCM(10624,10643) = 113071232

Least Common Multiple (LCM) of 10624 and 10643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10624 and 10643. First we will calculate the prime factors of 10624 and 10643.

Prime Factorization of 10624

Prime factors of 10624 are 2, 83. Prime factorization of 10624 in exponential form is:

10624 = 27 × 831

Prime Factorization of 10643

Prime factors of 10643 are 29, 367. Prime factorization of 10643 in exponential form is:

10643 = 291 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 10624 and 10643.

LCM(10624,10643) = 27 × 831 × 291 × 3671
LCM(10624,10643) = 113071232