What is the Least Common Multiple of 86237 and 86242?
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 86237 and 86242 is 7437251354.
LCM(86237,86242) = 7437251354
Least Common Multiple of 86237 and 86242 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86237 and 86242, than apply into the LCM equation.
GCF(86237,86242) = 1
LCM(86237,86242) = ( 86237 × 86242) / 1
LCM(86237,86242) = 7437251354 / 1
LCM(86237,86242) = 7437251354
Least Common Multiple (LCM) of 86237 and 86242 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86237 and 86242. First we will calculate the prime factors of 86237 and 86242.
Prime Factorization of 86237
Prime factors of 86237 are 83, 1039. Prime factorization of 86237 in exponential form is:
86237 = 831 × 10391
Prime Factorization of 86242
Prime factors of 86242 are 2, 13, 31, 107. Prime factorization of 86242 in exponential form is:
86242 = 21 × 131 × 311 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 86237 and 86242.
LCM(86237,86242) = 831 × 10391 × 21 × 131 × 311 × 1071
LCM(86237,86242) = 7437251354
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