What is the Least Common Multiple of 20372 and 20388?
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 20372 and 20388 is 103836084.
LCM(20372,20388) = 103836084
Least Common Multiple of 20372 and 20388 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20372 and 20388, than apply into the LCM equation.
GCF(20372,20388) = 4
LCM(20372,20388) = ( 20372 × 20388) / 4
LCM(20372,20388) = 415344336 / 4
LCM(20372,20388) = 103836084
Least Common Multiple (LCM) of 20372 and 20388 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20372 and 20388. First we will calculate the prime factors of 20372 and 20388.
Prime Factorization of 20372
Prime factors of 20372 are 2, 11, 463. Prime factorization of 20372 in exponential form is:
20372 = 22 × 111 × 4631
Prime Factorization of 20388
Prime factors of 20388 are 2, 3, 1699. Prime factorization of 20388 in exponential form is:
20388 = 22 × 31 × 16991
Now multiplying the highest exponent prime factors to calculate the LCM of 20372 and 20388.
LCM(20372,20388) = 22 × 111 × 4631 × 31 × 16991
LCM(20372,20388) = 103836084
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