What is the Least Common Multiple of 93637 and 93649?
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 93637 and 93649 is 8769011413.
LCM(93637,93649) = 8769011413
Least Common Multiple of 93637 and 93649 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93637 and 93649, than apply into the LCM equation.
GCF(93637,93649) = 1
LCM(93637,93649) = ( 93637 × 93649) / 1
LCM(93637,93649) = 8769011413 / 1
LCM(93637,93649) = 8769011413
Least Common Multiple (LCM) of 93637 and 93649 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93637 and 93649. First we will calculate the prime factors of 93637 and 93649.
Prime Factorization of 93637
Prime factors of 93637 are 93637. Prime factorization of 93637 in exponential form is:
93637 = 936371
Prime Factorization of 93649
Prime factors of 93649 are 71, 1319. Prime factorization of 93649 in exponential form is:
93649 = 711 × 13191
Now multiplying the highest exponent prime factors to calculate the LCM of 93637 and 93649.
LCM(93637,93649) = 936371 × 711 × 13191
LCM(93637,93649) = 8769011413
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