What is the Least Common Multiple of 66526 and 66538?
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 66526 and 66538 is 2213253494.
LCM(66526,66538) = 2213253494
Least Common Multiple of 66526 and 66538 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66526 and 66538, than apply into the LCM equation.
GCF(66526,66538) = 2
LCM(66526,66538) = ( 66526 × 66538) / 2
LCM(66526,66538) = 4426506988 / 2
LCM(66526,66538) = 2213253494
Least Common Multiple (LCM) of 66526 and 66538 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66526 and 66538. First we will calculate the prime factors of 66526 and 66538.
Prime Factorization of 66526
Prime factors of 66526 are 2, 29, 31, 37. Prime factorization of 66526 in exponential form is:
66526 = 21 × 291 × 311 × 371
Prime Factorization of 66538
Prime factors of 66538 are 2, 17, 19, 103. Prime factorization of 66538 in exponential form is:
66538 = 21 × 171 × 191 × 1031
Now multiplying the highest exponent prime factors to calculate the LCM of 66526 and 66538.
LCM(66526,66538) = 21 × 291 × 311 × 371 × 171 × 191 × 1031
LCM(66526,66538) = 2213253494
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