What is the Least Common Multiple of 73239 and 73243?
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 73239 and 73243 is 5364244077.
LCM(73239,73243) = 5364244077
Least Common Multiple of 73239 and 73243 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73239 and 73243, than apply into the LCM equation.
GCF(73239,73243) = 1
LCM(73239,73243) = ( 73239 × 73243) / 1
LCM(73239,73243) = 5364244077 / 1
LCM(73239,73243) = 5364244077
Least Common Multiple (LCM) of 73239 and 73243 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 73239 and 73243. First we will calculate the prime factors of 73239 and 73243.
Prime Factorization of 73239
Prime factors of 73239 are 3, 24413. Prime factorization of 73239 in exponential form is:
73239 = 31 × 244131
Prime Factorization of 73243
Prime factors of 73243 are 73243. Prime factorization of 73243 in exponential form is:
73243 = 732431
Now multiplying the highest exponent prime factors to calculate the LCM of 73239 and 73243.
LCM(73239,73243) = 31 × 244131 × 732431
LCM(73239,73243) = 5364244077
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