What is the Least Common Multiple of 40026 and 40044?
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 40026 and 40044 is 267133524.
LCM(40026,40044) = 267133524
Least Common Multiple of 40026 and 40044 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40026 and 40044, than apply into the LCM equation.
GCF(40026,40044) = 6
LCM(40026,40044) = ( 40026 × 40044) / 6
LCM(40026,40044) = 1602801144 / 6
LCM(40026,40044) = 267133524
Least Common Multiple (LCM) of 40026 and 40044 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40026 and 40044. First we will calculate the prime factors of 40026 and 40044.
Prime Factorization of 40026
Prime factors of 40026 are 2, 3, 7, 953. Prime factorization of 40026 in exponential form is:
40026 = 21 × 31 × 71 × 9531
Prime Factorization of 40044
Prime factors of 40044 are 2, 3, 47, 71. Prime factorization of 40044 in exponential form is:
40044 = 22 × 31 × 471 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 40026 and 40044.
LCM(40026,40044) = 22 × 31 × 71 × 9531 × 471 × 711
LCM(40026,40044) = 267133524
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