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What is the Least Common Multiple of 68745 and 68765?

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 68745 and 68765 is 945449985.

LCM(68745,68765) = 945449985

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Least Common Multiple of 68745 and 68765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68745 and 68765, than apply into the LCM equation.

GCF(68745,68765) = 5
LCM(68745,68765) = ( 68745 × 68765) / 5
LCM(68745,68765) = 4727249925 / 5
LCM(68745,68765) = 945449985

Least Common Multiple (LCM) of 68745 and 68765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68745 and 68765. First we will calculate the prime factors of 68745 and 68765.

Prime Factorization of 68745

Prime factors of 68745 are 3, 5, 4583. Prime factorization of 68745 in exponential form is:

68745 = 31 × 51 × 45831

Prime Factorization of 68765

Prime factors of 68765 are 5, 17, 809. Prime factorization of 68765 in exponential form is:

68765 = 51 × 171 × 8091

Now multiplying the highest exponent prime factors to calculate the LCM of 68745 and 68765.

LCM(68745,68765) = 31 × 51 × 45831 × 171 × 8091
LCM(68745,68765) = 945449985