What is the Least Common Multiple of 40877 and 40893?
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 40877 and 40893 is 1671583161.
LCM(40877,40893) = 1671583161
Least Common Multiple of 40877 and 40893 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40877 and 40893, than apply into the LCM equation.
GCF(40877,40893) = 1
LCM(40877,40893) = ( 40877 × 40893) / 1
LCM(40877,40893) = 1671583161 / 1
LCM(40877,40893) = 1671583161
Least Common Multiple (LCM) of 40877 and 40893 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40877 and 40893. First we will calculate the prime factors of 40877 and 40893.
Prime Factorization of 40877
Prime factors of 40877 are 41, 997. Prime factorization of 40877 in exponential form is:
40877 = 411 × 9971
Prime Factorization of 40893
Prime factors of 40893 are 3, 43, 317. Prime factorization of 40893 in exponential form is:
40893 = 31 × 431 × 3171
Now multiplying the highest exponent prime factors to calculate the LCM of 40877 and 40893.
LCM(40877,40893) = 411 × 9971 × 31 × 431 × 3171
LCM(40877,40893) = 1671583161
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