What is the Least Common Multiple of 374 and 387?
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 387 is 144738.
LCM(374,387) = 144738
Least Common Multiple of 374 and 387 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 387, than apply into the LCM equation.
GCF(374,387) = 1
LCM(374,387) = ( 374 × 387) / 1
LCM(374,387) = 144738 / 1
LCM(374,387) = 144738
Least Common Multiple (LCM) of 374 and 387 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 374 and 387. First we will calculate the prime factors of 374 and 387.
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 387
Prime factors of 387 are 3, 43. Prime factorization of 387 in exponential form is:
387 = 32 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 374 and 387.
LCM(374,387) = 21 × 111 × 171 × 32 × 431
LCM(374,387) = 144738
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