What is the Least Common Multiple of 89637 and 89656?
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 89637 and 89656 is 8036494872.
LCM(89637,89656) = 8036494872
Least Common Multiple of 89637 and 89656 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89637 and 89656, than apply into the LCM equation.
GCF(89637,89656) = 1
LCM(89637,89656) = ( 89637 × 89656) / 1
LCM(89637,89656) = 8036494872 / 1
LCM(89637,89656) = 8036494872
Least Common Multiple (LCM) of 89637 and 89656 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 89637 and 89656. First we will calculate the prime factors of 89637 and 89656.
Prime Factorization of 89637
Prime factors of 89637 are 3, 29879. Prime factorization of 89637 in exponential form is:
89637 = 31 × 298791
Prime Factorization of 89656
Prime factors of 89656 are 2, 7, 1601. Prime factorization of 89656 in exponential form is:
89656 = 23 × 71 × 16011
Now multiplying the highest exponent prime factors to calculate the LCM of 89637 and 89656.
LCM(89637,89656) = 31 × 298791 × 23 × 71 × 16011
LCM(89637,89656) = 8036494872
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