What is the Least Common Multiple of 77349 and 77367?
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 77349 and 77367 is 1994753361.
LCM(77349,77367) = 1994753361
Least Common Multiple of 77349 and 77367 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77349 and 77367, than apply into the LCM equation.
GCF(77349,77367) = 3
LCM(77349,77367) = ( 77349 × 77367) / 3
LCM(77349,77367) = 5984260083 / 3
LCM(77349,77367) = 1994753361
Least Common Multiple (LCM) of 77349 and 77367 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77349 and 77367. First we will calculate the prime factors of 77349 and 77367.
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
Prime Factorization of 77367
Prime factors of 77367 are 3, 17, 37, 41. Prime factorization of 77367 in exponential form is:
77367 = 31 × 171 × 371 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 77349 and 77367.
LCM(77349,77367) = 31 × 191 × 231 × 591 × 171 × 371 × 411
LCM(77349,77367) = 1994753361
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