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What is the Least Common Multiple of 68525 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 68525 and 68538 is 4696566450.

LCM(68525,68538) = 4696566450

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Least Common Multiple of 68525 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 68525 and 68538, than apply into the LCM equation.

GCF(68525,68538) = 1
LCM(68525,68538) = ( 68525 × 68538) / 1
LCM(68525,68538) = 4696566450 / 1
LCM(68525,68538) = 4696566450

Least Common Multiple (LCM) of 68525 and 68538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68525 and 68538. First we will calculate the prime factors of 68525 and 68538.

Prime Factorization of 68525

Prime factors of 68525 are 5, 2741. Prime factorization of 68525 in exponential form is:

68525 = 52 × 27411

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 68525 and 68538.

LCM(68525,68538) = 52 × 27411 × 21 × 31 × 114231
LCM(68525,68538) = 4696566450