What is the Least Common Multiple of 40529 and 40542?
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 40529 and 40542 is 1643126718.
LCM(40529,40542) = 1643126718
Least Common Multiple of 40529 and 40542 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40529 and 40542, than apply into the LCM equation.
GCF(40529,40542) = 1
LCM(40529,40542) = ( 40529 × 40542) / 1
LCM(40529,40542) = 1643126718 / 1
LCM(40529,40542) = 1643126718
Least Common Multiple (LCM) of 40529 and 40542 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40529 and 40542. First we will calculate the prime factors of 40529 and 40542.
Prime Factorization of 40529
Prime factors of 40529 are 40529. Prime factorization of 40529 in exponential form is:
40529 = 405291
Prime Factorization of 40542
Prime factors of 40542 are 2, 3, 29, 233. Prime factorization of 40542 in exponential form is:
40542 = 21 × 31 × 291 × 2331
Now multiplying the highest exponent prime factors to calculate the LCM of 40529 and 40542.
LCM(40529,40542) = 405291 × 21 × 31 × 291 × 2331
LCM(40529,40542) = 1643126718
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