What is the Least Common Multiple of 374 and 394?
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 374 and 394 is 73678.
LCM(374,394) = 73678
Least Common Multiple of 374 and 394 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 374 and 394, than apply into the LCM equation.
GCF(374,394) = 2
LCM(374,394) = ( 374 × 394) / 2
LCM(374,394) = 147356 / 2
LCM(374,394) = 73678
Least Common Multiple (LCM) of 374 and 394 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 374 and 394. First we will calculate the prime factors of 374 and 394.
Prime Factorization of 374
Prime factors of 374 are 2, 11, 17. Prime factorization of 374 in exponential form is:
374 = 21 × 111 × 171
Prime Factorization of 394
Prime factors of 394 are 2, 197. Prime factorization of 394 in exponential form is:
394 = 21 × 1971
Now multiplying the highest exponent prime factors to calculate the LCM of 374 and 394.
LCM(374,394) = 21 × 111 × 171 × 1971
LCM(374,394) = 73678
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