What is the Least Common Multiple of 77339 and 77357?
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 77339 and 77357 is 5982713023.
LCM(77339,77357) = 5982713023
Least Common Multiple of 77339 and 77357 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77339 and 77357, than apply into the LCM equation.
GCF(77339,77357) = 1
LCM(77339,77357) = ( 77339 × 77357) / 1
LCM(77339,77357) = 5982713023 / 1
LCM(77339,77357) = 5982713023
Least Common Multiple (LCM) of 77339 and 77357 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77339 and 77357. First we will calculate the prime factors of 77339 and 77357.
Prime Factorization of 77339
Prime factors of 77339 are 77339. Prime factorization of 77339 in exponential form is:
77339 = 773391
Prime Factorization of 77357
Prime factors of 77357 are 7, 43, 257. Prime factorization of 77357 in exponential form is:
77357 = 71 × 431 × 2571
Now multiplying the highest exponent prime factors to calculate the LCM of 77339 and 77357.
LCM(77339,77357) = 773391 × 71 × 431 × 2571
LCM(77339,77357) = 5982713023
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