What is the Least Common Multiple of 40026 and 40034?
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 40034 is 801200442.
LCM(40026,40034) = 801200442
Least Common Multiple of 40026 and 40034 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 40034, than apply into the LCM equation.
GCF(40026,40034) = 2
LCM(40026,40034) = ( 40026 × 40034) / 2
LCM(40026,40034) = 1602400884 / 2
LCM(40026,40034) = 801200442
Least Common Multiple (LCM) of 40026 and 40034 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40026 and 40034. First we will calculate the prime factors of 40026 and 40034.
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 40034
Prime factors of 40034 are 2, 37, 541. Prime factorization of 40034 in exponential form is:
40034 = 21 × 371 × 5411
Now multiplying the highest exponent prime factors to calculate the LCM of 40026 and 40034.
LCM(40026,40034) = 21 × 31 × 71 × 9531 × 371 × 5411
LCM(40026,40034) = 801200442
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