What is the Least Common Multiple of 50280 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 50280 and 50300 is 126454200.
LCM(50280,50300) = 126454200
Least Common Multiple of 50280 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 50280 and 50300, than apply into the LCM equation.
GCF(50280,50300) = 20
LCM(50280,50300) = ( 50280 × 50300) / 20
LCM(50280,50300) = 2529084000 / 20
LCM(50280,50300) = 126454200
Least Common Multiple (LCM) of 50280 and 50300 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50280 and 50300. First we will calculate the prime factors of 50280 and 50300.
Prime Factorization of 50280
Prime factors of 50280 are 2, 3, 5, 419. Prime factorization of 50280 in exponential form is:
50280 = 23 × 31 × 51 × 4191
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 50280 and 50300.
LCM(50280,50300) = 23 × 31 × 52 × 4191 × 5031
LCM(50280,50300) = 126454200
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