What is the Least Common Multiple of 50285 and 50300?
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 50285 and 50300 is 505867100.
LCM(50285,50300) = 505867100
Least Common Multiple of 50285 and 50300 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50285 and 50300, than apply into the LCM equation.
GCF(50285,50300) = 5
LCM(50285,50300) = ( 50285 × 50300) / 5
LCM(50285,50300) = 2529335500 / 5
LCM(50285,50300) = 505867100
Least Common Multiple (LCM) of 50285 and 50300 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50285 and 50300. First we will calculate the prime factors of 50285 and 50300.
Prime Factorization of 50285
Prime factors of 50285 are 5, 89, 113. Prime factorization of 50285 in exponential form is:
50285 = 51 × 891 × 1131
Prime Factorization of 50300
Prime factors of 50300 are 2, 5, 503. Prime factorization of 50300 in exponential form is:
50300 = 22 × 52 × 5031
Now multiplying the highest exponent prime factors to calculate the LCM of 50285 and 50300.
LCM(50285,50300) = 52 × 891 × 1131 × 22 × 5031
LCM(50285,50300) = 505867100
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