What is the Least Common Multiple of 86634 and 86639?
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 86634 and 86639 is 7505883126.
LCM(86634,86639) = 7505883126
Least Common Multiple of 86634 and 86639 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86634 and 86639, than apply into the LCM equation.
GCF(86634,86639) = 1
LCM(86634,86639) = ( 86634 × 86639) / 1
LCM(86634,86639) = 7505883126 / 1
LCM(86634,86639) = 7505883126
Least Common Multiple (LCM) of 86634 and 86639 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86634 and 86639. First we will calculate the prime factors of 86634 and 86639.
Prime Factorization of 86634
Prime factors of 86634 are 2, 3, 4813. Prime factorization of 86634 in exponential form is:
86634 = 21 × 32 × 48131
Prime Factorization of 86639
Prime factors of 86639 are 7, 12377. Prime factorization of 86639 in exponential form is:
86639 = 71 × 123771
Now multiplying the highest exponent prime factors to calculate the LCM of 86634 and 86639.
LCM(86634,86639) = 21 × 32 × 48131 × 71 × 123771
LCM(86634,86639) = 7505883126
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