What is the Least Common Multiple of 41368 and 41384?
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 41368 and 41384 is 213996664.
LCM(41368,41384) = 213996664
Least Common Multiple of 41368 and 41384 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41368 and 41384, than apply into the LCM equation.
GCF(41368,41384) = 8
LCM(41368,41384) = ( 41368 × 41384) / 8
LCM(41368,41384) = 1711973312 / 8
LCM(41368,41384) = 213996664
Least Common Multiple (LCM) of 41368 and 41384 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41368 and 41384. First we will calculate the prime factors of 41368 and 41384.
Prime Factorization of 41368
Prime factors of 41368 are 2, 5171. Prime factorization of 41368 in exponential form is:
41368 = 23 × 51711
Prime Factorization of 41384
Prime factors of 41384 are 2, 7, 739. Prime factorization of 41384 in exponential form is:
41384 = 23 × 71 × 7391
Now multiplying the highest exponent prime factors to calculate the LCM of 41368 and 41384.
LCM(41368,41384) = 23 × 51711 × 71 × 7391
LCM(41368,41384) = 213996664
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