What is the Least Common Multiple of 40231 and 40237?
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 40231 and 40237 is 1618774747.
LCM(40231,40237) = 1618774747
Least Common Multiple of 40231 and 40237 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40231 and 40237, than apply into the LCM equation.
GCF(40231,40237) = 1
LCM(40231,40237) = ( 40231 × 40237) / 1
LCM(40231,40237) = 1618774747 / 1
LCM(40231,40237) = 1618774747
Least Common Multiple (LCM) of 40231 and 40237 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40231 and 40237. First we will calculate the prime factors of 40231 and 40237.
Prime Factorization of 40231
Prime factors of 40231 are 40231. Prime factorization of 40231 in exponential form is:
40231 = 402311
Prime Factorization of 40237
Prime factors of 40237 are 40237. Prime factorization of 40237 in exponential form is:
40237 = 402371
Now multiplying the highest exponent prime factors to calculate the LCM of 40231 and 40237.
LCM(40231,40237) = 402311 × 402371
LCM(40231,40237) = 1618774747
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