What is the Least Common Multiple of 91879 and 91893?
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 91879 and 91893 is 8443036947.
LCM(91879,91893) = 8443036947
Least Common Multiple of 91879 and 91893 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91879 and 91893, than apply into the LCM equation.
GCF(91879,91893) = 1
LCM(91879,91893) = ( 91879 × 91893) / 1
LCM(91879,91893) = 8443036947 / 1
LCM(91879,91893) = 8443036947
Least Common Multiple (LCM) of 91879 and 91893 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91879 and 91893. First we will calculate the prime factors of 91879 and 91893.
Prime Factorization of 91879
Prime factors of 91879 are 139, 661. Prime factorization of 91879 in exponential form is:
91879 = 1391 × 6611
Prime Factorization of 91893
Prime factors of 91893 are 3, 30631. Prime factorization of 91893 in exponential form is:
91893 = 31 × 306311
Now multiplying the highest exponent prime factors to calculate the LCM of 91879 and 91893.
LCM(91879,91893) = 1391 × 6611 × 31 × 306311
LCM(91879,91893) = 8443036947
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