What is the Least Common Multiple of 86621 and 86637?
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 86621 and 86637 is 7504583577.
LCM(86621,86637) = 7504583577
Least Common Multiple of 86621 and 86637 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86621 and 86637, than apply into the LCM equation.
GCF(86621,86637) = 1
LCM(86621,86637) = ( 86621 × 86637) / 1
LCM(86621,86637) = 7504583577 / 1
LCM(86621,86637) = 7504583577
Least Common Multiple (LCM) of 86621 and 86637 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86621 and 86637. First we will calculate the prime factors of 86621 and 86637.
Prime Factorization of 86621
Prime factors of 86621 are 19, 47, 97. Prime factorization of 86621 in exponential form is:
86621 = 191 × 471 × 971
Prime Factorization of 86637
Prime factors of 86637 are 3, 28879. Prime factorization of 86637 in exponential form is:
86637 = 31 × 288791
Now multiplying the highest exponent prime factors to calculate the LCM of 86621 and 86637.
LCM(86621,86637) = 191 × 471 × 971 × 31 × 288791
LCM(86621,86637) = 7504583577
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