What is the Least Common Multiple of 18620 and 18637?
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 18620 and 18637 is 347020940.
LCM(18620,18637) = 347020940
Least Common Multiple of 18620 and 18637 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18620 and 18637, than apply into the LCM equation.
GCF(18620,18637) = 1
LCM(18620,18637) = ( 18620 × 18637) / 1
LCM(18620,18637) = 347020940 / 1
LCM(18620,18637) = 347020940
Least Common Multiple (LCM) of 18620 and 18637 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18620 and 18637. First we will calculate the prime factors of 18620 and 18637.
Prime Factorization of 18620
Prime factors of 18620 are 2, 5, 7, 19. Prime factorization of 18620 in exponential form is:
18620 = 22 × 51 × 72 × 191
Prime Factorization of 18637
Prime factors of 18637 are 18637. Prime factorization of 18637 in exponential form is:
18637 = 186371
Now multiplying the highest exponent prime factors to calculate the LCM of 18620 and 18637.
LCM(18620,18637) = 22 × 51 × 72 × 191 × 186371
LCM(18620,18637) = 347020940
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