What is the Least Common Multiple of 356 and 369?
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 356 and 369 is 131364.
LCM(356,369) = 131364
Least Common Multiple of 356 and 369 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 356 and 369, than apply into the LCM equation.
GCF(356,369) = 1
LCM(356,369) = ( 356 × 369) / 1
LCM(356,369) = 131364 / 1
LCM(356,369) = 131364
Least Common Multiple (LCM) of 356 and 369 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 356 and 369. First we will calculate the prime factors of 356 and 369.
Prime Factorization of 356
Prime factors of 356 are 2, 89. Prime factorization of 356 in exponential form is:
356 = 22 × 891
Prime Factorization of 369
Prime factors of 369 are 3, 41. Prime factorization of 369 in exponential form is:
369 = 32 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 356 and 369.
LCM(356,369) = 22 × 891 × 32 × 411
LCM(356,369) = 131364
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