What is the Least Common Multiple of 40367 and 40387?
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 40367 and 40387 is 1630302029.
LCM(40367,40387) = 1630302029
Least Common Multiple of 40367 and 40387 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40367 and 40387, than apply into the LCM equation.
GCF(40367,40387) = 1
LCM(40367,40387) = ( 40367 × 40387) / 1
LCM(40367,40387) = 1630302029 / 1
LCM(40367,40387) = 1630302029
Least Common Multiple (LCM) of 40367 and 40387 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40367 and 40387. First we will calculate the prime factors of 40367 and 40387.
Prime Factorization of 40367
Prime factors of 40367 are 37, 1091. Prime factorization of 40367 in exponential form is:
40367 = 371 × 10911
Prime Factorization of 40387
Prime factors of 40387 are 40387. Prime factorization of 40387 in exponential form is:
40387 = 403871
Now multiplying the highest exponent prime factors to calculate the LCM of 40367 and 40387.
LCM(40367,40387) = 371 × 10911 × 403871
LCM(40367,40387) = 1630302029
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