What is the Least Common Multiple of 357 and 361?
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 357 and 361 is 128877.
LCM(357,361) = 128877
Least Common Multiple of 357 and 361 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 357 and 361, than apply into the LCM equation.
GCF(357,361) = 1
LCM(357,361) = ( 357 × 361) / 1
LCM(357,361) = 128877 / 1
LCM(357,361) = 128877
Least Common Multiple (LCM) of 357 and 361 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 357 and 361. First we will calculate the prime factors of 357 and 361.
Prime Factorization of 357
Prime factors of 357 are 3, 7, 17. Prime factorization of 357 in exponential form is:
357 = 31 × 71 × 171
Prime Factorization of 361
Prime factors of 361 are 19. Prime factorization of 361 in exponential form is:
361 = 192
Now multiplying the highest exponent prime factors to calculate the LCM of 357 and 361.
LCM(357,361) = 31 × 71 × 171 × 192
LCM(357,361) = 128877
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