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What is the Least Common Multiple of 68552 and 68566?

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 68552 and 68566 is 2350168216.

LCM(68552,68566) = 2350168216

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Least Common Multiple of 68552 and 68566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68552 and 68566, than apply into the LCM equation.

GCF(68552,68566) = 2
LCM(68552,68566) = ( 68552 × 68566) / 2
LCM(68552,68566) = 4700336432 / 2
LCM(68552,68566) = 2350168216

Least Common Multiple (LCM) of 68552 and 68566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68552 and 68566. First we will calculate the prime factors of 68552 and 68566.

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

Prime Factorization of 68566

Prime factors of 68566 are 2, 34283. Prime factorization of 68566 in exponential form is:

68566 = 21 × 342831

Now multiplying the highest exponent prime factors to calculate the LCM of 68552 and 68566.

LCM(68552,68566) = 23 × 111 × 191 × 411 × 342831
LCM(68552,68566) = 2350168216