What is the Least Common Multiple of 40219 and 40231?
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 40219 and 40231 is 1618050589.
LCM(40219,40231) = 1618050589
Least Common Multiple of 40219 and 40231 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40219 and 40231, than apply into the LCM equation.
GCF(40219,40231) = 1
LCM(40219,40231) = ( 40219 × 40231) / 1
LCM(40219,40231) = 1618050589 / 1
LCM(40219,40231) = 1618050589
Least Common Multiple (LCM) of 40219 and 40231 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40219 and 40231. First we will calculate the prime factors of 40219 and 40231.
Prime Factorization of 40219
Prime factors of 40219 are 37, 1087. Prime factorization of 40219 in exponential form is:
40219 = 371 × 10871
Prime Factorization of 40231
Prime factors of 40231 are 40231. Prime factorization of 40231 in exponential form is:
40231 = 402311
Now multiplying the highest exponent prime factors to calculate the LCM of 40219 and 40231.
LCM(40219,40231) = 371 × 10871 × 402311
LCM(40219,40231) = 1618050589
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