What is the Least Common Multiple of 70882 and 70887?
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 70882 and 70887 is 5024612334.
LCM(70882,70887) = 5024612334
Least Common Multiple of 70882 and 70887 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70882 and 70887, than apply into the LCM equation.
GCF(70882,70887) = 1
LCM(70882,70887) = ( 70882 × 70887) / 1
LCM(70882,70887) = 5024612334 / 1
LCM(70882,70887) = 5024612334
Least Common Multiple (LCM) of 70882 and 70887 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70882 and 70887. First we will calculate the prime factors of 70882 and 70887.
Prime Factorization of 70882
Prime factors of 70882 are 2, 7, 61, 83. Prime factorization of 70882 in exponential form is:
70882 = 21 × 71 × 611 × 831
Prime Factorization of 70887
Prime factors of 70887 are 3, 23629. Prime factorization of 70887 in exponential form is:
70887 = 31 × 236291
Now multiplying the highest exponent prime factors to calculate the LCM of 70882 and 70887.
LCM(70882,70887) = 21 × 71 × 611 × 831 × 31 × 236291
LCM(70882,70887) = 5024612334
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