What is the Least Common Multiple of 93926 and 93932?
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 93926 and 93932 is 4411328516.
LCM(93926,93932) = 4411328516
Least Common Multiple of 93926 and 93932 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93926 and 93932, than apply into the LCM equation.
GCF(93926,93932) = 2
LCM(93926,93932) = ( 93926 × 93932) / 2
LCM(93926,93932) = 8822657032 / 2
LCM(93926,93932) = 4411328516
Least Common Multiple (LCM) of 93926 and 93932 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93926 and 93932. First we will calculate the prime factors of 93926 and 93932.
Prime Factorization of 93926
Prime factors of 93926 are 2, 7, 6709. Prime factorization of 93926 in exponential form is:
93926 = 21 × 71 × 67091
Prime Factorization of 93932
Prime factors of 93932 are 2, 23, 1021. Prime factorization of 93932 in exponential form is:
93932 = 22 × 231 × 10211
Now multiplying the highest exponent prime factors to calculate the LCM of 93926 and 93932.
LCM(93926,93932) = 22 × 71 × 67091 × 231 × 10211
LCM(93926,93932) = 4411328516
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