What is the Least Common Multiple of 50862 and 50879?
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 50862 and 50879 is 2587807698.
LCM(50862,50879) = 2587807698
Least Common Multiple of 50862 and 50879 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50862 and 50879, than apply into the LCM equation.
GCF(50862,50879) = 1
LCM(50862,50879) = ( 50862 × 50879) / 1
LCM(50862,50879) = 2587807698 / 1
LCM(50862,50879) = 2587807698
Least Common Multiple (LCM) of 50862 and 50879 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50862 and 50879. First we will calculate the prime factors of 50862 and 50879.
Prime Factorization of 50862
Prime factors of 50862 are 2, 3, 7, 173. Prime factorization of 50862 in exponential form is:
50862 = 21 × 31 × 72 × 1731
Prime Factorization of 50879
Prime factors of 50879 are 83, 613. Prime factorization of 50879 in exponential form is:
50879 = 831 × 6131
Now multiplying the highest exponent prime factors to calculate the LCM of 50862 and 50879.
LCM(50862,50879) = 21 × 31 × 72 × 1731 × 831 × 6131
LCM(50862,50879) = 2587807698
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