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What is the Least Common Multiple of 68083 and 68094?

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 68083 and 68094 is 4636043802.

LCM(68083,68094) = 4636043802

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Least Common Multiple of 68083 and 68094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68083 and 68094, than apply into the LCM equation.

GCF(68083,68094) = 1
LCM(68083,68094) = ( 68083 × 68094) / 1
LCM(68083,68094) = 4636043802 / 1
LCM(68083,68094) = 4636043802

Least Common Multiple (LCM) of 68083 and 68094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68083 and 68094. First we will calculate the prime factors of 68083 and 68094.

Prime Factorization of 68083

Prime factors of 68083 are 103, 661. Prime factorization of 68083 in exponential form is:

68083 = 1031 × 6611

Prime Factorization of 68094

Prime factors of 68094 are 2, 3, 13, 97. Prime factorization of 68094 in exponential form is:

68094 = 21 × 33 × 131 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 68083 and 68094.

LCM(68083,68094) = 1031 × 6611 × 21 × 33 × 131 × 971
LCM(68083,68094) = 4636043802