What is the Least Common Multiple of 67856 and 67874?
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 67856 and 67874 is 2302829072.
LCM(67856,67874) = 2302829072
Least Common Multiple of 67856 and 67874 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67856 and 67874, than apply into the LCM equation.
GCF(67856,67874) = 2
LCM(67856,67874) = ( 67856 × 67874) / 2
LCM(67856,67874) = 4605658144 / 2
LCM(67856,67874) = 2302829072
Least Common Multiple (LCM) of 67856 and 67874 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67856 and 67874. First we will calculate the prime factors of 67856 and 67874.
Prime Factorization of 67856
Prime factors of 67856 are 2, 4241. Prime factorization of 67856 in exponential form is:
67856 = 24 × 42411
Prime Factorization of 67874
Prime factors of 67874 are 2, 33937. Prime factorization of 67874 in exponential form is:
67874 = 21 × 339371
Now multiplying the highest exponent prime factors to calculate the LCM of 67856 and 67874.
LCM(67856,67874) = 24 × 42411 × 339371
LCM(67856,67874) = 2302829072
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