What is the Least Common Multiple of 354 and 365?
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 354 and 365 is 129210.
LCM(354,365) = 129210
Least Common Multiple of 354 and 365 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 354 and 365, than apply into the LCM equation.
GCF(354,365) = 1
LCM(354,365) = ( 354 × 365) / 1
LCM(354,365) = 129210 / 1
LCM(354,365) = 129210
Least Common Multiple (LCM) of 354 and 365 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 354 and 365. First we will calculate the prime factors of 354 and 365.
Prime Factorization of 354
Prime factors of 354 are 2, 3, 59. Prime factorization of 354 in exponential form is:
354 = 21 × 31 × 591
Prime Factorization of 365
Prime factors of 365 are 5, 73. Prime factorization of 365 in exponential form is:
365 = 51 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 354 and 365.
LCM(354,365) = 21 × 31 × 591 × 51 × 731
LCM(354,365) = 129210
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