What is the Least Common Multiple of 50351 and 50370?
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 50351 and 50370 is 2536179870.
LCM(50351,50370) = 2536179870
Least Common Multiple of 50351 and 50370 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50351 and 50370, than apply into the LCM equation.
GCF(50351,50370) = 1
LCM(50351,50370) = ( 50351 × 50370) / 1
LCM(50351,50370) = 2536179870 / 1
LCM(50351,50370) = 2536179870
Least Common Multiple (LCM) of 50351 and 50370 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50351 and 50370. First we will calculate the prime factors of 50351 and 50370.
Prime Factorization of 50351
Prime factors of 50351 are 7, 7193. Prime factorization of 50351 in exponential form is:
50351 = 71 × 71931
Prime Factorization of 50370
Prime factors of 50370 are 2, 3, 5, 23, 73. Prime factorization of 50370 in exponential form is:
50370 = 21 × 31 × 51 × 231 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 50351 and 50370.
LCM(50351,50370) = 71 × 71931 × 21 × 31 × 51 × 231 × 731
LCM(50351,50370) = 2536179870
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