What is the Least Common Multiple of 363 and 374?
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 363 and 374 is 12342.
LCM(363,374) = 12342
Least Common Multiple of 363 and 374 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 363 and 374, than apply into the LCM equation.
GCF(363,374) = 11
LCM(363,374) = ( 363 × 374) / 11
LCM(363,374) = 135762 / 11
LCM(363,374) = 12342
Least Common Multiple (LCM) of 363 and 374 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 363 and 374. First we will calculate the prime factors of 363 and 374.
Prime Factorization of 363
Prime factors of 363 are 3, 11. Prime factorization of 363 in exponential form is:
363 = 31 × 112
Prime Factorization of 374
Prime factors of 374 are 2, 11, 17. Prime factorization of 374 in exponential form is:
374 = 21 × 111 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 363 and 374.
LCM(363,374) = 31 × 112 × 21 × 171
LCM(363,374) = 12342
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