What is the Least Common Multiple of 40101 and 40108?
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 40101 and 40108 is 1608370908.
LCM(40101,40108) = 1608370908
Least Common Multiple of 40101 and 40108 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40101 and 40108, than apply into the LCM equation.
GCF(40101,40108) = 1
LCM(40101,40108) = ( 40101 × 40108) / 1
LCM(40101,40108) = 1608370908 / 1
LCM(40101,40108) = 1608370908
Least Common Multiple (LCM) of 40101 and 40108 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40101 and 40108. First we will calculate the prime factors of 40101 and 40108.
Prime Factorization of 40101
Prime factors of 40101 are 3, 13367. Prime factorization of 40101 in exponential form is:
40101 = 31 × 133671
Prime Factorization of 40108
Prime factors of 40108 are 2, 37, 271. Prime factorization of 40108 in exponential form is:
40108 = 22 × 371 × 2711
Now multiplying the highest exponent prime factors to calculate the LCM of 40101 and 40108.
LCM(40101,40108) = 31 × 133671 × 22 × 371 × 2711
LCM(40101,40108) = 1608370908
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