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What is the Least Common Multiple of 73085 and 73094?

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 73085 and 73094 is 5342074990.

LCM(73085,73094) = 5342074990

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Least Common Multiple of 73085 and 73094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73085 and 73094, than apply into the LCM equation.

GCF(73085,73094) = 1
LCM(73085,73094) = ( 73085 × 73094) / 1
LCM(73085,73094) = 5342074990 / 1
LCM(73085,73094) = 5342074990

Least Common Multiple (LCM) of 73085 and 73094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73085 and 73094. First we will calculate the prime factors of 73085 and 73094.

Prime Factorization of 73085

Prime factors of 73085 are 5, 47, 311. Prime factorization of 73085 in exponential form is:

73085 = 51 × 471 × 3111

Prime Factorization of 73094

Prime factors of 73094 are 2, 7, 23, 227. Prime factorization of 73094 in exponential form is:

73094 = 21 × 71 × 231 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 73085 and 73094.

LCM(73085,73094) = 51 × 471 × 3111 × 21 × 71 × 231 × 2271
LCM(73085,73094) = 5342074990