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What is the Least Common Multiple of 73022 and 73034?

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 73022 and 73034 is 2666544374.

LCM(73022,73034) = 2666544374

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Least Common Multiple of 73022 and 73034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73022 and 73034, than apply into the LCM equation.

GCF(73022,73034) = 2
LCM(73022,73034) = ( 73022 × 73034) / 2
LCM(73022,73034) = 5333088748 / 2
LCM(73022,73034) = 2666544374

Least Common Multiple (LCM) of 73022 and 73034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73022 and 73034. First we will calculate the prime factors of 73022 and 73034.

Prime Factorization of 73022

Prime factors of 73022 are 2, 29, 1259. Prime factorization of 73022 in exponential form is:

73022 = 21 × 291 × 12591

Prime Factorization of 73034

Prime factors of 73034 are 2, 13, 53. Prime factorization of 73034 in exponential form is:

73034 = 21 × 131 × 532

Now multiplying the highest exponent prime factors to calculate the LCM of 73022 and 73034.

LCM(73022,73034) = 21 × 291 × 12591 × 131 × 532
LCM(73022,73034) = 2666544374