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What is the Least Common Multiple of 68074 and 68080?

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 68074 and 68080 is 2317238960.

LCM(68074,68080) = 2317238960

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Least Common Multiple of 68074 and 68080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68074 and 68080, than apply into the LCM equation.

GCF(68074,68080) = 2
LCM(68074,68080) = ( 68074 × 68080) / 2
LCM(68074,68080) = 4634477920 / 2
LCM(68074,68080) = 2317238960

Least Common Multiple (LCM) of 68074 and 68080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68074 and 68080. First we will calculate the prime factors of 68074 and 68080.

Prime Factorization of 68074

Prime factors of 68074 are 2, 101, 337. Prime factorization of 68074 in exponential form is:

68074 = 21 × 1011 × 3371

Prime Factorization of 68080

Prime factors of 68080 are 2, 5, 23, 37. Prime factorization of 68080 in exponential form is:

68080 = 24 × 51 × 231 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 68074 and 68080.

LCM(68074,68080) = 24 × 1011 × 3371 × 51 × 231 × 371
LCM(68074,68080) = 2317238960