What is the Least Common Multiple of 87917 and 87937?
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 87917 and 87937 is 7731157229.
LCM(87917,87937) = 7731157229
Least Common Multiple of 87917 and 87937 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87917 and 87937, than apply into the LCM equation.
GCF(87917,87937) = 1
LCM(87917,87937) = ( 87917 × 87937) / 1
LCM(87917,87937) = 7731157229 / 1
LCM(87917,87937) = 7731157229
Least Common Multiple (LCM) of 87917 and 87937 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87917 and 87937. First we will calculate the prime factors of 87917 and 87937.
Prime Factorization of 87917
Prime factors of 87917 are 87917. Prime factorization of 87917 in exponential form is:
87917 = 879171
Prime Factorization of 87937
Prime factors of 87937 are 47, 1871. Prime factorization of 87937 in exponential form is:
87937 = 471 × 18711
Now multiplying the highest exponent prime factors to calculate the LCM of 87917 and 87937.
LCM(87917,87937) = 879171 × 471 × 18711
LCM(87917,87937) = 7731157229
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