What is the Least Common Multiple of 50147 and 50165?
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 50147 and 50165 is 2515624255.
LCM(50147,50165) = 2515624255
Least Common Multiple of 50147 and 50165 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50147 and 50165, than apply into the LCM equation.
GCF(50147,50165) = 1
LCM(50147,50165) = ( 50147 × 50165) / 1
LCM(50147,50165) = 2515624255 / 1
LCM(50147,50165) = 2515624255
Least Common Multiple (LCM) of 50147 and 50165 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50147 and 50165. First we will calculate the prime factors of 50147 and 50165.
Prime Factorization of 50147
Prime factors of 50147 are 50147. Prime factorization of 50147 in exponential form is:
50147 = 501471
Prime Factorization of 50165
Prime factors of 50165 are 5, 79, 127. Prime factorization of 50165 in exponential form is:
50165 = 51 × 791 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 50147 and 50165.
LCM(50147,50165) = 501471 × 51 × 791 × 1271
LCM(50147,50165) = 2515624255
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