What is the Least Common Multiple of 51377 and 51393?
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 51377 and 51393 is 2640418161.
LCM(51377,51393) = 2640418161
Least Common Multiple of 51377 and 51393 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51377 and 51393, than apply into the LCM equation.
GCF(51377,51393) = 1
LCM(51377,51393) = ( 51377 × 51393) / 1
LCM(51377,51393) = 2640418161 / 1
LCM(51377,51393) = 2640418161
Least Common Multiple (LCM) of 51377 and 51393 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 51377 and 51393. First we will calculate the prime factors of 51377 and 51393.
Prime Factorization of 51377
Prime factors of 51377 are 83, 619. Prime factorization of 51377 in exponential form is:
51377 = 831 × 6191
Prime Factorization of 51393
Prime factors of 51393 are 3, 37, 463. Prime factorization of 51393 in exponential form is:
51393 = 31 × 371 × 4631
Now multiplying the highest exponent prime factors to calculate the LCM of 51377 and 51393.
LCM(51377,51393) = 831 × 6191 × 31 × 371 × 4631
LCM(51377,51393) = 2640418161
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