What is the Least Common Multiple of 97882 and 97887?
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 97882 and 97887 is 9581375334.
LCM(97882,97887) = 9581375334
Least Common Multiple of 97882 and 97887 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97882 and 97887, than apply into the LCM equation.
GCF(97882,97887) = 1
LCM(97882,97887) = ( 97882 × 97887) / 1
LCM(97882,97887) = 9581375334 / 1
LCM(97882,97887) = 9581375334
Least Common Multiple (LCM) of 97882 and 97887 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97882 and 97887. First we will calculate the prime factors of 97882 and 97887.
Prime Factorization of 97882
Prime factors of 97882 are 2, 109, 449. Prime factorization of 97882 in exponential form is:
97882 = 21 × 1091 × 4491
Prime Factorization of 97887
Prime factors of 97887 are 3, 67, 487. Prime factorization of 97887 in exponential form is:
97887 = 31 × 671 × 4871
Now multiplying the highest exponent prime factors to calculate the LCM of 97882 and 97887.
LCM(97882,97887) = 21 × 1091 × 4491 × 31 × 671 × 4871
LCM(97882,97887) = 9581375334
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