What is the Least Common Multiple of 32339 and 32349?
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 32339 and 32349 is 1046134311.
LCM(32339,32349) = 1046134311
Least Common Multiple of 32339 and 32349 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32339 and 32349, than apply into the LCM equation.
GCF(32339,32349) = 1
LCM(32339,32349) = ( 32339 × 32349) / 1
LCM(32339,32349) = 1046134311 / 1
LCM(32339,32349) = 1046134311
Least Common Multiple (LCM) of 32339 and 32349 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32339 and 32349. First we will calculate the prime factors of 32339 and 32349.
Prime Factorization of 32339
Prime factors of 32339 are 73, 443. Prime factorization of 32339 in exponential form is:
32339 = 731 × 4431
Prime Factorization of 32349
Prime factors of 32349 are 3, 41, 263. Prime factorization of 32349 in exponential form is:
32349 = 31 × 411 × 2631
Now multiplying the highest exponent prime factors to calculate the LCM of 32339 and 32349.
LCM(32339,32349) = 731 × 4431 × 31 × 411 × 2631
LCM(32339,32349) = 1046134311
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