What is the Least Common Multiple of 40266 and 40281?
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 40266 and 40281 is 540651582.
LCM(40266,40281) = 540651582
Least Common Multiple of 40266 and 40281 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40266 and 40281, than apply into the LCM equation.
GCF(40266,40281) = 3
LCM(40266,40281) = ( 40266 × 40281) / 3
LCM(40266,40281) = 1621954746 / 3
LCM(40266,40281) = 540651582
Least Common Multiple (LCM) of 40266 and 40281 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40266 and 40281. First we will calculate the prime factors of 40266 and 40281.
Prime Factorization of 40266
Prime factors of 40266 are 2, 3, 2237. Prime factorization of 40266 in exponential form is:
40266 = 21 × 32 × 22371
Prime Factorization of 40281
Prime factors of 40281 are 3, 29, 463. Prime factorization of 40281 in exponential form is:
40281 = 31 × 291 × 4631
Now multiplying the highest exponent prime factors to calculate the LCM of 40266 and 40281.
LCM(40266,40281) = 21 × 32 × 22371 × 291 × 4631
LCM(40266,40281) = 540651582
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