What is the Least Common Multiple of 40100 and 40117?
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 40100 and 40117 is 1608691700.
LCM(40100,40117) = 1608691700
Least Common Multiple of 40100 and 40117 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40100 and 40117, than apply into the LCM equation.
GCF(40100,40117) = 1
LCM(40100,40117) = ( 40100 × 40117) / 1
LCM(40100,40117) = 1608691700 / 1
LCM(40100,40117) = 1608691700
Least Common Multiple (LCM) of 40100 and 40117 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40100 and 40117. First we will calculate the prime factors of 40100 and 40117.
Prime Factorization of 40100
Prime factors of 40100 are 2, 5, 401. Prime factorization of 40100 in exponential form is:
40100 = 22 × 52 × 4011
Prime Factorization of 40117
Prime factors of 40117 are 7, 11, 521. Prime factorization of 40117 in exponential form is:
40117 = 71 × 111 × 5211
Now multiplying the highest exponent prime factors to calculate the LCM of 40100 and 40117.
LCM(40100,40117) = 22 × 52 × 4011 × 71 × 111 × 5211
LCM(40100,40117) = 1608691700
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