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What is the Least Common Multiple of 68023 and 68035?

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 68023 and 68035 is 4627944805.

LCM(68023,68035) = 4627944805

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Least Common Multiple of 68023 and 68035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68023 and 68035, than apply into the LCM equation.

GCF(68023,68035) = 1
LCM(68023,68035) = ( 68023 × 68035) / 1
LCM(68023,68035) = 4627944805 / 1
LCM(68023,68035) = 4627944805

Least Common Multiple (LCM) of 68023 and 68035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68023 and 68035. First we will calculate the prime factors of 68023 and 68035.

Prime Factorization of 68023

Prime factors of 68023 are 68023. Prime factorization of 68023 in exponential form is:

68023 = 680231

Prime Factorization of 68035

Prime factors of 68035 are 5, 11, 1237. Prime factorization of 68035 in exponential form is:

68035 = 51 × 111 × 12371

Now multiplying the highest exponent prime factors to calculate the LCM of 68023 and 68035.

LCM(68023,68035) = 680231 × 51 × 111 × 12371
LCM(68023,68035) = 4627944805