What is the Least Common Multiple of 84865 and 84874?
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 84865 and 84874 is 7202832010.
LCM(84865,84874) = 7202832010
Least Common Multiple of 84865 and 84874 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84865 and 84874, than apply into the LCM equation.
GCF(84865,84874) = 1
LCM(84865,84874) = ( 84865 × 84874) / 1
LCM(84865,84874) = 7202832010 / 1
LCM(84865,84874) = 7202832010
Least Common Multiple (LCM) of 84865 and 84874 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84865 and 84874. First we will calculate the prime factors of 84865 and 84874.
Prime Factorization of 84865
Prime factors of 84865 are 5, 11, 1543. Prime factorization of 84865 in exponential form is:
84865 = 51 × 111 × 15431
Prime Factorization of 84874
Prime factors of 84874 are 2, 42437. Prime factorization of 84874 in exponential form is:
84874 = 21 × 424371
Now multiplying the highest exponent prime factors to calculate the LCM of 84865 and 84874.
LCM(84865,84874) = 51 × 111 × 15431 × 21 × 424371
LCM(84865,84874) = 7202832010
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