What is the Least Common Multiple of 86157 and 86162?
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 86157 and 86162 is 7423459434.
LCM(86157,86162) = 7423459434
Least Common Multiple of 86157 and 86162 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86157 and 86162, than apply into the LCM equation.
GCF(86157,86162) = 1
LCM(86157,86162) = ( 86157 × 86162) / 1
LCM(86157,86162) = 7423459434 / 1
LCM(86157,86162) = 7423459434
Least Common Multiple (LCM) of 86157 and 86162 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86157 and 86162. First we will calculate the prime factors of 86157 and 86162.
Prime Factorization of 86157
Prime factors of 86157 are 3, 3191. Prime factorization of 86157 in exponential form is:
86157 = 33 × 31911
Prime Factorization of 86162
Prime factors of 86162 are 2, 67, 643. Prime factorization of 86162 in exponential form is:
86162 = 21 × 671 × 6431
Now multiplying the highest exponent prime factors to calculate the LCM of 86157 and 86162.
LCM(86157,86162) = 33 × 31911 × 21 × 671 × 6431
LCM(86157,86162) = 7423459434
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