What is the Least Common Multiple of 336 and 341?
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 336 and 341 is 114576.
LCM(336,341) = 114576
Least Common Multiple of 336 and 341 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 336 and 341, than apply into the LCM equation.
GCF(336,341) = 1
LCM(336,341) = ( 336 × 341) / 1
LCM(336,341) = 114576 / 1
LCM(336,341) = 114576
Least Common Multiple (LCM) of 336 and 341 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 336 and 341. First we will calculate the prime factors of 336 and 341.
Prime Factorization of 336
Prime factors of 336 are 2, 3, 7. Prime factorization of 336 in exponential form is:
336 = 24 × 31 × 71
Prime Factorization of 341
Prime factors of 341 are 11, 31. Prime factorization of 341 in exponential form is:
341 = 111 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 336 and 341.
LCM(336,341) = 24 × 31 × 71 × 111 × 311
LCM(336,341) = 114576
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