What is the Least Common Multiple of 51722 and 51726?
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 51722 and 51726 is 1337686086.
LCM(51722,51726) = 1337686086
Least Common Multiple of 51722 and 51726 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51722 and 51726, than apply into the LCM equation.
GCF(51722,51726) = 2
LCM(51722,51726) = ( 51722 × 51726) / 2
LCM(51722,51726) = 2675372172 / 2
LCM(51722,51726) = 1337686086
Least Common Multiple (LCM) of 51722 and 51726 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 51722 and 51726. First we will calculate the prime factors of 51722 and 51726.
Prime Factorization of 51722
Prime factors of 51722 are 2, 11, 2351. Prime factorization of 51722 in exponential form is:
51722 = 21 × 111 × 23511
Prime Factorization of 51726
Prime factors of 51726 are 2, 3, 37, 233. Prime factorization of 51726 in exponential form is:
51726 = 21 × 31 × 371 × 2331
Now multiplying the highest exponent prime factors to calculate the LCM of 51722 and 51726.
LCM(51722,51726) = 21 × 111 × 23511 × 31 × 371 × 2331
LCM(51722,51726) = 1337686086
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