What is the Least Common Multiple of 51497 and 51517?
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 51497 and 51517 is 2652970949.
LCM(51497,51517) = 2652970949
Least Common Multiple of 51497 and 51517 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51497 and 51517, than apply into the LCM equation.
GCF(51497,51517) = 1
LCM(51497,51517) = ( 51497 × 51517) / 1
LCM(51497,51517) = 2652970949 / 1
LCM(51497,51517) = 2652970949
Least Common Multiple (LCM) of 51497 and 51517 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 51497 and 51517. First we will calculate the prime factors of 51497 and 51517.
Prime Factorization of 51497
Prime factors of 51497 are 23, 2239. Prime factorization of 51497 in exponential form is:
51497 = 231 × 22391
Prime Factorization of 51517
Prime factors of 51517 are 51517. Prime factorization of 51517 in exponential form is:
51517 = 515171
Now multiplying the highest exponent prime factors to calculate the LCM of 51497 and 51517.
LCM(51497,51517) = 231 × 22391 × 515171
LCM(51497,51517) = 2652970949
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