What is the Least Common Multiple of 77343 and 77353?
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 77343 and 77353 is 5982713079.
LCM(77343,77353) = 5982713079
Least Common Multiple of 77343 and 77353 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77343 and 77353, than apply into the LCM equation.
GCF(77343,77353) = 1
LCM(77343,77353) = ( 77343 × 77353) / 1
LCM(77343,77353) = 5982713079 / 1
LCM(77343,77353) = 5982713079
Least Common Multiple (LCM) of 77343 and 77353 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77343 and 77353. First we will calculate the prime factors of 77343 and 77353.
Prime Factorization of 77343
Prime factors of 77343 are 3, 7, 29, 127. Prime factorization of 77343 in exponential form is:
77343 = 31 × 71 × 291 × 1271
Prime Factorization of 77353
Prime factors of 77353 are 103, 751. Prime factorization of 77353 in exponential form is:
77353 = 1031 × 7511
Now multiplying the highest exponent prime factors to calculate the LCM of 77343 and 77353.
LCM(77343,77353) = 31 × 71 × 291 × 1271 × 1031 × 7511
LCM(77343,77353) = 5982713079
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