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What is the Least Common Multiple of 68355 and 68366?

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 68355 and 68366 is 4673157930.

LCM(68355,68366) = 4673157930

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Least Common Multiple of 68355 and 68366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68355 and 68366, than apply into the LCM equation.

GCF(68355,68366) = 1
LCM(68355,68366) = ( 68355 × 68366) / 1
LCM(68355,68366) = 4673157930 / 1
LCM(68355,68366) = 4673157930

Least Common Multiple (LCM) of 68355 and 68366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68355 and 68366. First we will calculate the prime factors of 68355 and 68366.

Prime Factorization of 68355

Prime factors of 68355 are 3, 5, 7, 31. Prime factorization of 68355 in exponential form is:

68355 = 32 × 51 × 72 × 311

Prime Factorization of 68366

Prime factors of 68366 are 2, 34183. Prime factorization of 68366 in exponential form is:

68366 = 21 × 341831

Now multiplying the highest exponent prime factors to calculate the LCM of 68355 and 68366.

LCM(68355,68366) = 32 × 51 × 72 × 311 × 21 × 341831
LCM(68355,68366) = 4673157930