What is the Least Common Multiple of 86122 and 86127?
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 86122 and 86127 is 7417429494.
LCM(86122,86127) = 7417429494
Least Common Multiple of 86122 and 86127 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86122 and 86127, than apply into the LCM equation.
GCF(86122,86127) = 1
LCM(86122,86127) = ( 86122 × 86127) / 1
LCM(86122,86127) = 7417429494 / 1
LCM(86122,86127) = 7417429494
Least Common Multiple (LCM) of 86122 and 86127 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86122 and 86127. First we will calculate the prime factors of 86122 and 86127.
Prime Factorization of 86122
Prime factors of 86122 are 2, 17, 149. Prime factorization of 86122 in exponential form is:
86122 = 21 × 172 × 1491
Prime Factorization of 86127
Prime factors of 86127 are 3, 19, 1511. Prime factorization of 86127 in exponential form is:
86127 = 31 × 191 × 15111
Now multiplying the highest exponent prime factors to calculate the LCM of 86122 and 86127.
LCM(86122,86127) = 21 × 172 × 1491 × 31 × 191 × 15111
LCM(86122,86127) = 7417429494
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