What is the Least Common Multiple of 51957 and 51975?
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 51957 and 51975 is 300051675.
LCM(51957,51975) = 300051675
Least Common Multiple of 51957 and 51975 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51957 and 51975, than apply into the LCM equation.
GCF(51957,51975) = 9
LCM(51957,51975) = ( 51957 × 51975) / 9
LCM(51957,51975) = 2700465075 / 9
LCM(51957,51975) = 300051675
Least Common Multiple (LCM) of 51957 and 51975 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 51957 and 51975. First we will calculate the prime factors of 51957 and 51975.
Prime Factorization of 51957
Prime factors of 51957 are 3, 23, 251. Prime factorization of 51957 in exponential form is:
51957 = 32 × 231 × 2511
Prime Factorization of 51975
Prime factors of 51975 are 3, 5, 7, 11. Prime factorization of 51975 in exponential form is:
51975 = 33 × 52 × 71 × 111
Now multiplying the highest exponent prime factors to calculate the LCM of 51957 and 51975.
LCM(51957,51975) = 33 × 231 × 2511 × 52 × 71 × 111
LCM(51957,51975) = 300051675
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