What is the Least Common Multiple of 76870 and 76874?
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 76870 and 76874 is 2954652190.
LCM(76870,76874) = 2954652190
Least Common Multiple of 76870 and 76874 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76870 and 76874, than apply into the LCM equation.
GCF(76870,76874) = 2
LCM(76870,76874) = ( 76870 × 76874) / 2
LCM(76870,76874) = 5909304380 / 2
LCM(76870,76874) = 2954652190
Least Common Multiple (LCM) of 76870 and 76874 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76870 and 76874. First we will calculate the prime factors of 76870 and 76874.
Prime Factorization of 76870
Prime factors of 76870 are 2, 5, 7687. Prime factorization of 76870 in exponential form is:
76870 = 21 × 51 × 76871
Prime Factorization of 76874
Prime factors of 76874 are 2, 7, 17, 19. Prime factorization of 76874 in exponential form is:
76874 = 21 × 71 × 172 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 76870 and 76874.
LCM(76870,76874) = 21 × 51 × 76871 × 71 × 172 × 191
LCM(76870,76874) = 2954652190
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