What is the Least Common Multiple of 52062 and 52066?
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 52062 and 52066 is 1355330046.
LCM(52062,52066) = 1355330046
Least Common Multiple of 52062 and 52066 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52062 and 52066, than apply into the LCM equation.
GCF(52062,52066) = 2
LCM(52062,52066) = ( 52062 × 52066) / 2
LCM(52062,52066) = 2710660092 / 2
LCM(52062,52066) = 1355330046
Least Common Multiple (LCM) of 52062 and 52066 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52062 and 52066. First we will calculate the prime factors of 52062 and 52066.
Prime Factorization of 52062
Prime factors of 52062 are 2, 3, 8677. Prime factorization of 52062 in exponential form is:
52062 = 21 × 31 × 86771
Prime Factorization of 52066
Prime factors of 52066 are 2, 7, 3719. Prime factorization of 52066 in exponential form is:
52066 = 21 × 71 × 37191
Now multiplying the highest exponent prime factors to calculate the LCM of 52062 and 52066.
LCM(52062,52066) = 21 × 31 × 86771 × 71 × 37191
LCM(52062,52066) = 1355330046
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