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What is the Least Common Multiple of 68060 and 68066?

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 68060 and 68066 is 2316285980.

LCM(68060,68066) = 2316285980

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Least Common Multiple of 68060 and 68066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68060 and 68066, than apply into the LCM equation.

GCF(68060,68066) = 2
LCM(68060,68066) = ( 68060 × 68066) / 2
LCM(68060,68066) = 4632571960 / 2
LCM(68060,68066) = 2316285980

Least Common Multiple (LCM) of 68060 and 68066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68060 and 68066. First we will calculate the prime factors of 68060 and 68066.

Prime Factorization of 68060

Prime factors of 68060 are 2, 5, 41, 83. Prime factorization of 68060 in exponential form is:

68060 = 22 × 51 × 411 × 831

Prime Factorization of 68066

Prime factors of 68066 are 2, 34033. Prime factorization of 68066 in exponential form is:

68066 = 21 × 340331

Now multiplying the highest exponent prime factors to calculate the LCM of 68060 and 68066.

LCM(68060,68066) = 22 × 51 × 411 × 831 × 340331
LCM(68060,68066) = 2316285980