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What is the Least Common Multiple of 68528 and 68542?

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 68528 and 68542 is 2348523088.

LCM(68528,68542) = 2348523088

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Least Common Multiple of 68528 and 68542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68528 and 68542, than apply into the LCM equation.

GCF(68528,68542) = 2
LCM(68528,68542) = ( 68528 × 68542) / 2
LCM(68528,68542) = 4697046176 / 2
LCM(68528,68542) = 2348523088

Least Common Multiple (LCM) of 68528 and 68542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68528 and 68542. First we will calculate the prime factors of 68528 and 68542.

Prime Factorization of 68528

Prime factors of 68528 are 2, 4283. Prime factorization of 68528 in exponential form is:

68528 = 24 × 42831

Prime Factorization of 68542

Prime factors of 68542 are 2, 43, 797. Prime factorization of 68542 in exponential form is:

68542 = 21 × 431 × 7971

Now multiplying the highest exponent prime factors to calculate the LCM of 68528 and 68542.

LCM(68528,68542) = 24 × 42831 × 431 × 7971
LCM(68528,68542) = 2348523088