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What is the Least Common Multiple of 68534 and 68552?

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 68534 and 68552 is 2349071384.

LCM(68534,68552) = 2349071384

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Least Common Multiple of 68534 and 68552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68534 and 68552, than apply into the LCM equation.

GCF(68534,68552) = 2
LCM(68534,68552) = ( 68534 × 68552) / 2
LCM(68534,68552) = 4698142768 / 2
LCM(68534,68552) = 2349071384

Least Common Multiple (LCM) of 68534 and 68552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68534 and 68552. First we will calculate the prime factors of 68534 and 68552.

Prime Factorization of 68534

Prime factors of 68534 are 2, 34267. Prime factorization of 68534 in exponential form is:

68534 = 21 × 342671

Prime Factorization of 68552

Prime factors of 68552 are 2, 11, 19, 41. Prime factorization of 68552 in exponential form is:

68552 = 23 × 111 × 191 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 68534 and 68552.

LCM(68534,68552) = 23 × 342671 × 111 × 191 × 411
LCM(68534,68552) = 2349071384