What is the Least Common Multiple of 50888 and 50893?
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 50888 and 50893 is 2589842984.
LCM(50888,50893) = 2589842984
Least Common Multiple of 50888 and 50893 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50888 and 50893, than apply into the LCM equation.
GCF(50888,50893) = 1
LCM(50888,50893) = ( 50888 × 50893) / 1
LCM(50888,50893) = 2589842984 / 1
LCM(50888,50893) = 2589842984
Least Common Multiple (LCM) of 50888 and 50893 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50888 and 50893. First we will calculate the prime factors of 50888 and 50893.
Prime Factorization of 50888
Prime factors of 50888 are 2, 6361. Prime factorization of 50888 in exponential form is:
50888 = 23 × 63611
Prime Factorization of 50893
Prime factors of 50893 are 50893. Prime factorization of 50893 in exponential form is:
50893 = 508931
Now multiplying the highest exponent prime factors to calculate the LCM of 50888 and 50893.
LCM(50888,50893) = 23 × 63611 × 508931
LCM(50888,50893) = 2589842984
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