What is the Least Common Multiple of 50282 and 50297?
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 50282 and 50297 is 2529033754.
LCM(50282,50297) = 2529033754
Least Common Multiple of 50282 and 50297 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50282 and 50297, than apply into the LCM equation.
GCF(50282,50297) = 1
LCM(50282,50297) = ( 50282 × 50297) / 1
LCM(50282,50297) = 2529033754 / 1
LCM(50282,50297) = 2529033754
Least Common Multiple (LCM) of 50282 and 50297 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50282 and 50297. First we will calculate the prime factors of 50282 and 50297.
Prime Factorization of 50282
Prime factors of 50282 are 2, 31, 811. Prime factorization of 50282 in exponential form is:
50282 = 21 × 311 × 8111
Prime Factorization of 50297
Prime factors of 50297 are 13, 53, 73. Prime factorization of 50297 in exponential form is:
50297 = 131 × 531 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 50282 and 50297.
LCM(50282,50297) = 21 × 311 × 8111 × 131 × 531 × 731
LCM(50282,50297) = 2529033754
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