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What is the Least Common Multiple of 68780 and 68785?

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 68780 and 68785 is 946206460.

LCM(68780,68785) = 946206460

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Least Common Multiple of 68780 and 68785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68780 and 68785, than apply into the LCM equation.

GCF(68780,68785) = 5
LCM(68780,68785) = ( 68780 × 68785) / 5
LCM(68780,68785) = 4731032300 / 5
LCM(68780,68785) = 946206460

Least Common Multiple (LCM) of 68780 and 68785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68780 and 68785. First we will calculate the prime factors of 68780 and 68785.

Prime Factorization of 68780

Prime factors of 68780 are 2, 5, 19, 181. Prime factorization of 68780 in exponential form is:

68780 = 22 × 51 × 191 × 1811

Prime Factorization of 68785

Prime factors of 68785 are 5, 13757. Prime factorization of 68785 in exponential form is:

68785 = 51 × 137571

Now multiplying the highest exponent prime factors to calculate the LCM of 68780 and 68785.

LCM(68780,68785) = 22 × 51 × 191 × 1811 × 137571
LCM(68780,68785) = 946206460