What is the Least Common Multiple of 73394 and 73399?
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 73394 and 73399 is 5387046206.
LCM(73394,73399) = 5387046206
Least Common Multiple of 73394 and 73399 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73394 and 73399, than apply into the LCM equation.
GCF(73394,73399) = 1
LCM(73394,73399) = ( 73394 × 73399) / 1
LCM(73394,73399) = 5387046206 / 1
LCM(73394,73399) = 5387046206
Least Common Multiple (LCM) of 73394 and 73399 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 73394 and 73399. First we will calculate the prime factors of 73394 and 73399.
Prime Factorization of 73394
Prime factors of 73394 are 2, 36697. Prime factorization of 73394 in exponential form is:
73394 = 21 × 366971
Prime Factorization of 73399
Prime factors of 73399 are 29, 2531. Prime factorization of 73399 in exponential form is:
73399 = 291 × 25311
Now multiplying the highest exponent prime factors to calculate the LCM of 73394 and 73399.
LCM(73394,73399) = 21 × 366971 × 291 × 25311
LCM(73394,73399) = 5387046206
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