What is the Least Common Multiple of 5066 and 5072?
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 5066 and 5072 is 12847376.
LCM(5066,5072) = 12847376
Least Common Multiple of 5066 and 5072 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5066 and 5072, than apply into the LCM equation.
GCF(5066,5072) = 2
LCM(5066,5072) = ( 5066 × 5072) / 2
LCM(5066,5072) = 25694752 / 2
LCM(5066,5072) = 12847376
Least Common Multiple (LCM) of 5066 and 5072 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5066 and 5072. First we will calculate the prime factors of 5066 and 5072.
Prime Factorization of 5066
Prime factors of 5066 are 2, 17, 149. Prime factorization of 5066 in exponential form is:
5066 = 21 × 171 × 1491
Prime Factorization of 5072
Prime factors of 5072 are 2, 317. Prime factorization of 5072 in exponential form is:
5072 = 24 × 3171
Now multiplying the highest exponent prime factors to calculate the LCM of 5066 and 5072.
LCM(5066,5072) = 24 × 171 × 1491 × 3171
LCM(5066,5072) = 12847376
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