What is the Least Common Multiple of 50861 and 50872?
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 50861 and 50872 is 2587400792.
LCM(50861,50872) = 2587400792
Least Common Multiple of 50861 and 50872 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50861 and 50872, than apply into the LCM equation.
GCF(50861,50872) = 1
LCM(50861,50872) = ( 50861 × 50872) / 1
LCM(50861,50872) = 2587400792 / 1
LCM(50861,50872) = 2587400792
Least Common Multiple (LCM) of 50861 and 50872 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50861 and 50872. First we will calculate the prime factors of 50861 and 50872.
Prime Factorization of 50861
Prime factors of 50861 are 181, 281. Prime factorization of 50861 in exponential form is:
50861 = 1811 × 2811
Prime Factorization of 50872
Prime factors of 50872 are 2, 6359. Prime factorization of 50872 in exponential form is:
50872 = 23 × 63591
Now multiplying the highest exponent prime factors to calculate the LCM of 50861 and 50872.
LCM(50861,50872) = 1811 × 2811 × 23 × 63591
LCM(50861,50872) = 2587400792
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