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What is the Least Common Multiple of 68875 and 68892?

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 68875 and 68892 is 4744936500.

LCM(68875,68892) = 4744936500

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Least Common Multiple of 68875 and 68892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68875 and 68892, than apply into the LCM equation.

GCF(68875,68892) = 1
LCM(68875,68892) = ( 68875 × 68892) / 1
LCM(68875,68892) = 4744936500 / 1
LCM(68875,68892) = 4744936500

Least Common Multiple (LCM) of 68875 and 68892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68875 and 68892. First we will calculate the prime factors of 68875 and 68892.

Prime Factorization of 68875

Prime factors of 68875 are 5, 19, 29. Prime factorization of 68875 in exponential form is:

68875 = 53 × 191 × 291

Prime Factorization of 68892

Prime factors of 68892 are 2, 3, 5741. Prime factorization of 68892 in exponential form is:

68892 = 22 × 31 × 57411

Now multiplying the highest exponent prime factors to calculate the LCM of 68875 and 68892.

LCM(68875,68892) = 53 × 191 × 291 × 22 × 31 × 57411
LCM(68875,68892) = 4744936500