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What is the Least Common Multiple of 68527 and 68538?

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 68527 and 68538 is 4696703526.

LCM(68527,68538) = 4696703526

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Least Common Multiple of 68527 and 68538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68527 and 68538, than apply into the LCM equation.

GCF(68527,68538) = 1
LCM(68527,68538) = ( 68527 × 68538) / 1
LCM(68527,68538) = 4696703526 / 1
LCM(68527,68538) = 4696703526

Least Common Multiple (LCM) of 68527 and 68538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68527 and 68538. First we will calculate the prime factors of 68527 and 68538.

Prime Factorization of 68527

Prime factors of 68527 are 17, 29, 139. Prime factorization of 68527 in exponential form is:

68527 = 171 × 291 × 1391

Prime Factorization of 68538

Prime factors of 68538 are 2, 3, 11423. Prime factorization of 68538 in exponential form is:

68538 = 21 × 31 × 114231

Now multiplying the highest exponent prime factors to calculate the LCM of 68527 and 68538.

LCM(68527,68538) = 171 × 291 × 1391 × 21 × 31 × 114231
LCM(68527,68538) = 4696703526