What is the Least Common Multiple of 50297 and 50306?
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 50297 and 50306 is 2530240882.
LCM(50297,50306) = 2530240882
Least Common Multiple of 50297 and 50306 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50297 and 50306, than apply into the LCM equation.
GCF(50297,50306) = 1
LCM(50297,50306) = ( 50297 × 50306) / 1
LCM(50297,50306) = 2530240882 / 1
LCM(50297,50306) = 2530240882
Least Common Multiple (LCM) of 50297 and 50306 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50297 and 50306. First we will calculate the prime factors of 50297 and 50306.
Prime Factorization of 50297
Prime factors of 50297 are 13, 53, 73. Prime factorization of 50297 in exponential form is:
50297 = 131 × 531 × 731
Prime Factorization of 50306
Prime factors of 50306 are 2, 25153. Prime factorization of 50306 in exponential form is:
50306 = 21 × 251531
Now multiplying the highest exponent prime factors to calculate the LCM of 50297 and 50306.
LCM(50297,50306) = 131 × 531 × 731 × 21 × 251531
LCM(50297,50306) = 2530240882
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