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What is the Least Common Multiple of 68709 and 68725?

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 68709 and 68725 is 4722026025.

LCM(68709,68725) = 4722026025

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Least Common Multiple of 68709 and 68725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68709 and 68725, than apply into the LCM equation.

GCF(68709,68725) = 1
LCM(68709,68725) = ( 68709 × 68725) / 1
LCM(68709,68725) = 4722026025 / 1
LCM(68709,68725) = 4722026025

Least Common Multiple (LCM) of 68709 and 68725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68709 and 68725. First we will calculate the prime factors of 68709 and 68725.

Prime Factorization of 68709

Prime factors of 68709 are 3, 37, 619. Prime factorization of 68709 in exponential form is:

68709 = 31 × 371 × 6191

Prime Factorization of 68725

Prime factors of 68725 are 5, 2749. Prime factorization of 68725 in exponential form is:

68725 = 52 × 27491

Now multiplying the highest exponent prime factors to calculate the LCM of 68709 and 68725.

LCM(68709,68725) = 31 × 371 × 6191 × 52 × 27491
LCM(68709,68725) = 4722026025