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What is the Least Common Multiple of 68624 and 68643?

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 68624 and 68643 is 4710557232.

LCM(68624,68643) = 4710557232

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Least Common Multiple of 68624 and 68643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68624 and 68643, than apply into the LCM equation.

GCF(68624,68643) = 1
LCM(68624,68643) = ( 68624 × 68643) / 1
LCM(68624,68643) = 4710557232 / 1
LCM(68624,68643) = 4710557232

Least Common Multiple (LCM) of 68624 and 68643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68624 and 68643. First we will calculate the prime factors of 68624 and 68643.

Prime Factorization of 68624

Prime factors of 68624 are 2, 4289. Prime factorization of 68624 in exponential form is:

68624 = 24 × 42891

Prime Factorization of 68643

Prime factors of 68643 are 3, 29, 263. Prime factorization of 68643 in exponential form is:

68643 = 32 × 291 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 68624 and 68643.

LCM(68624,68643) = 24 × 42891 × 32 × 291 × 2631
LCM(68624,68643) = 4710557232