What is the Least Common Multiple of 52486 and 52502?
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 52486 and 52502 is 1377809986.
LCM(52486,52502) = 1377809986
Least Common Multiple of 52486 and 52502 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52486 and 52502, than apply into the LCM equation.
GCF(52486,52502) = 2
LCM(52486,52502) = ( 52486 × 52502) / 2
LCM(52486,52502) = 2755619972 / 2
LCM(52486,52502) = 1377809986
Least Common Multiple (LCM) of 52486 and 52502 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52486 and 52502. First we will calculate the prime factors of 52486 and 52502.
Prime Factorization of 52486
Prime factors of 52486 are 2, 7, 23, 163. Prime factorization of 52486 in exponential form is:
52486 = 21 × 71 × 231 × 1631
Prime Factorization of 52502
Prime factors of 52502 are 2, 26251. Prime factorization of 52502 in exponential form is:
52502 = 21 × 262511
Now multiplying the highest exponent prime factors to calculate the LCM of 52486 and 52502.
LCM(52486,52502) = 21 × 71 × 231 × 1631 × 262511
LCM(52486,52502) = 1377809986
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