What is the Least Common Multiple of 359 and 364?
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 359 and 364 is 130676.
LCM(359,364) = 130676
Least Common Multiple of 359 and 364 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 359 and 364, than apply into the LCM equation.
GCF(359,364) = 1
LCM(359,364) = ( 359 × 364) / 1
LCM(359,364) = 130676 / 1
LCM(359,364) = 130676
Least Common Multiple (LCM) of 359 and 364 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 359 and 364. First we will calculate the prime factors of 359 and 364.
Prime Factorization of 359
Prime factors of 359 are 359. Prime factorization of 359 in exponential form is:
359 = 3591
Prime Factorization of 364
Prime factors of 364 are 2, 7, 13. Prime factorization of 364 in exponential form is:
364 = 22 × 71 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 359 and 364.
LCM(359,364) = 3591 × 22 × 71 × 131
LCM(359,364) = 130676
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