What is the Least Common Multiple of 40026 and 40042?
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 40042 is 801360546.
LCM(40026,40042) = 801360546
Least Common Multiple of 40026 and 40042 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 40042, than apply into the LCM equation.
GCF(40026,40042) = 2
LCM(40026,40042) = ( 40026 × 40042) / 2
LCM(40026,40042) = 1602721092 / 2
LCM(40026,40042) = 801360546
Least Common Multiple (LCM) of 40026 and 40042 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40026 and 40042. First we will calculate the prime factors of 40026 and 40042.
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 40042
Prime factors of 40042 are 2, 20021. Prime factorization of 40042 in exponential form is:
40042 = 21 × 200211
Now multiplying the highest exponent prime factors to calculate the LCM of 40026 and 40042.
LCM(40026,40042) = 21 × 31 × 71 × 9531 × 200211
LCM(40026,40042) = 801360546
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