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What is the Least Common Multiple of 68545 and 68563?

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 68545 and 68563 is 4699650835.

LCM(68545,68563) = 4699650835

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Least Common Multiple of 68545 and 68563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68545 and 68563, than apply into the LCM equation.

GCF(68545,68563) = 1
LCM(68545,68563) = ( 68545 × 68563) / 1
LCM(68545,68563) = 4699650835 / 1
LCM(68545,68563) = 4699650835

Least Common Multiple (LCM) of 68545 and 68563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68545 and 68563. First we will calculate the prime factors of 68545 and 68563.

Prime Factorization of 68545

Prime factors of 68545 are 5, 13709. Prime factorization of 68545 in exponential form is:

68545 = 51 × 137091

Prime Factorization of 68563

Prime factors of 68563 are 11, 23, 271. Prime factorization of 68563 in exponential form is:

68563 = 111 × 231 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 68545 and 68563.

LCM(68545,68563) = 51 × 137091 × 111 × 231 × 2711
LCM(68545,68563) = 4699650835