What is the Least Common Multiple of 93644 and 93663?
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 93644 and 93663 is 8770977972.
LCM(93644,93663) = 8770977972
Least Common Multiple of 93644 and 93663 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93644 and 93663, than apply into the LCM equation.
GCF(93644,93663) = 1
LCM(93644,93663) = ( 93644 × 93663) / 1
LCM(93644,93663) = 8770977972 / 1
LCM(93644,93663) = 8770977972
Least Common Multiple (LCM) of 93644 and 93663 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93644 and 93663. First we will calculate the prime factors of 93644 and 93663.
Prime Factorization of 93644
Prime factors of 93644 are 2, 41, 571. Prime factorization of 93644 in exponential form is:
93644 = 22 × 411 × 5711
Prime Factorization of 93663
Prime factors of 93663 are 3, 3469. Prime factorization of 93663 in exponential form is:
93663 = 33 × 34691
Now multiplying the highest exponent prime factors to calculate the LCM of 93644 and 93663.
LCM(93644,93663) = 22 × 411 × 5711 × 33 × 34691
LCM(93644,93663) = 8770977972
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