What is the Least Common Multiple of 5066 and 5082?
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 5082 is 12872706.
LCM(5066,5082) = 12872706
Least Common Multiple of 5066 and 5082 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 5082, than apply into the LCM equation.
GCF(5066,5082) = 2
LCM(5066,5082) = ( 5066 × 5082) / 2
LCM(5066,5082) = 25745412 / 2
LCM(5066,5082) = 12872706
Least Common Multiple (LCM) of 5066 and 5082 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5066 and 5082. First we will calculate the prime factors of 5066 and 5082.
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 5082
Prime factors of 5082 are 2, 3, 7, 11. Prime factorization of 5082 in exponential form is:
5082 = 21 × 31 × 71 × 112
Now multiplying the highest exponent prime factors to calculate the LCM of 5066 and 5082.
LCM(5066,5082) = 21 × 171 × 1491 × 31 × 71 × 112
LCM(5066,5082) = 12872706
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