What is the Least Common Multiple of 72327 and 72337?
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 72327 and 72337 is 5231918199.
LCM(72327,72337) = 5231918199
Least Common Multiple of 72327 and 72337 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72327 and 72337, than apply into the LCM equation.
GCF(72327,72337) = 1
LCM(72327,72337) = ( 72327 × 72337) / 1
LCM(72327,72337) = 5231918199 / 1
LCM(72327,72337) = 5231918199
Least Common Multiple (LCM) of 72327 and 72337 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 72327 and 72337. First we will calculate the prime factors of 72327 and 72337.
Prime Factorization of 72327
Prime factors of 72327 are 3, 24109. Prime factorization of 72327 in exponential form is:
72327 = 31 × 241091
Prime Factorization of 72337
Prime factors of 72337 are 72337. Prime factorization of 72337 in exponential form is:
72337 = 723371
Now multiplying the highest exponent prime factors to calculate the LCM of 72327 and 72337.
LCM(72327,72337) = 31 × 241091 × 723371
LCM(72327,72337) = 5231918199
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