What is the Least Common Multiple of 50913 and 50923?
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 50913 and 50923 is 2592642699.
LCM(50913,50923) = 2592642699
Least Common Multiple of 50913 and 50923 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50913 and 50923, than apply into the LCM equation.
GCF(50913,50923) = 1
LCM(50913,50923) = ( 50913 × 50923) / 1
LCM(50913,50923) = 2592642699 / 1
LCM(50913,50923) = 2592642699
Least Common Multiple (LCM) of 50913 and 50923 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50913 and 50923. First we will calculate the prime factors of 50913 and 50923.
Prime Factorization of 50913
Prime factors of 50913 are 3, 5657. Prime factorization of 50913 in exponential form is:
50913 = 32 × 56571
Prime Factorization of 50923
Prime factors of 50923 are 50923. Prime factorization of 50923 in exponential form is:
50923 = 509231
Now multiplying the highest exponent prime factors to calculate the LCM of 50913 and 50923.
LCM(50913,50923) = 32 × 56571 × 509231
LCM(50913,50923) = 2592642699
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