What is the Least Common Multiple of 77345 and 77349?
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 77345 and 77349 is 5982558405.
LCM(77345,77349) = 5982558405
Least Common Multiple of 77345 and 77349 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77345 and 77349, than apply into the LCM equation.
GCF(77345,77349) = 1
LCM(77345,77349) = ( 77345 × 77349) / 1
LCM(77345,77349) = 5982558405 / 1
LCM(77345,77349) = 5982558405
Least Common Multiple (LCM) of 77345 and 77349 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77345 and 77349. First we will calculate the prime factors of 77345 and 77349.
Prime Factorization of 77345
Prime factors of 77345 are 5, 31, 499. Prime factorization of 77345 in exponential form is:
77345 = 51 × 311 × 4991
Prime Factorization of 77349
Prime factors of 77349 are 3, 19, 23, 59. Prime factorization of 77349 in exponential form is:
77349 = 31 × 191 × 231 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 77345 and 77349.
LCM(77345,77349) = 51 × 311 × 4991 × 31 × 191 × 231 × 591
LCM(77345,77349) = 5982558405
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