What is the Least Common Multiple of 340 and 355?
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 340 and 355 is 24140.
LCM(340,355) = 24140
Least Common Multiple of 340 and 355 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 340 and 355, than apply into the LCM equation.
GCF(340,355) = 5
LCM(340,355) = ( 340 × 355) / 5
LCM(340,355) = 120700 / 5
LCM(340,355) = 24140
Least Common Multiple (LCM) of 340 and 355 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 340 and 355. First we will calculate the prime factors of 340 and 355.
Prime Factorization of 340
Prime factors of 340 are 2, 5, 17. Prime factorization of 340 in exponential form is:
340 = 22 × 51 × 171
Prime Factorization of 355
Prime factors of 355 are 5, 71. Prime factorization of 355 in exponential form is:
355 = 51 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 340 and 355.
LCM(340,355) = 22 × 51 × 171 × 711
LCM(340,355) = 24140
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