What is the Least Common Multiple of 72349 and 72358?
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 72349 and 72358 is 5235028942.
LCM(72349,72358) = 5235028942
Least Common Multiple of 72349 and 72358 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72349 and 72358, than apply into the LCM equation.
GCF(72349,72358) = 1
LCM(72349,72358) = ( 72349 × 72358) / 1
LCM(72349,72358) = 5235028942 / 1
LCM(72349,72358) = 5235028942
Least Common Multiple (LCM) of 72349 and 72358 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 72349 and 72358. First we will calculate the prime factors of 72349 and 72358.
Prime Factorization of 72349
Prime factors of 72349 are 71, 1019. Prime factorization of 72349 in exponential form is:
72349 = 711 × 10191
Prime Factorization of 72358
Prime factors of 72358 are 2, 11, 13, 23. Prime factorization of 72358 in exponential form is:
72358 = 21 × 112 × 131 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 72349 and 72358.
LCM(72349,72358) = 711 × 10191 × 21 × 112 × 131 × 231
LCM(72349,72358) = 5235028942
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