What is the Least Common Multiple of 51068 and 51083?
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 51068 and 51083 is 2608706644.
LCM(51068,51083) = 2608706644
Least Common Multiple of 51068 and 51083 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51068 and 51083, than apply into the LCM equation.
GCF(51068,51083) = 1
LCM(51068,51083) = ( 51068 × 51083) / 1
LCM(51068,51083) = 2608706644 / 1
LCM(51068,51083) = 2608706644
Least Common Multiple (LCM) of 51068 and 51083 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 51068 and 51083. First we will calculate the prime factors of 51068 and 51083.
Prime Factorization of 51068
Prime factors of 51068 are 2, 17, 751. Prime factorization of 51068 in exponential form is:
51068 = 22 × 171 × 7511
Prime Factorization of 51083
Prime factors of 51083 are 23, 2221. Prime factorization of 51083 in exponential form is:
51083 = 231 × 22211
Now multiplying the highest exponent prime factors to calculate the LCM of 51068 and 51083.
LCM(51068,51083) = 22 × 171 × 7511 × 231 × 22211
LCM(51068,51083) = 2608706644
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