What is the Least Common Multiple of 40216 and 40223?
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 40216 and 40223 is 1617608168.
LCM(40216,40223) = 1617608168
Least Common Multiple of 40216 and 40223 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40216 and 40223, than apply into the LCM equation.
GCF(40216,40223) = 1
LCM(40216,40223) = ( 40216 × 40223) / 1
LCM(40216,40223) = 1617608168 / 1
LCM(40216,40223) = 1617608168
Least Common Multiple (LCM) of 40216 and 40223 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40216 and 40223. First we will calculate the prime factors of 40216 and 40223.
Prime Factorization of 40216
Prime factors of 40216 are 2, 11, 457. Prime factorization of 40216 in exponential form is:
40216 = 23 × 111 × 4571
Prime Factorization of 40223
Prime factors of 40223 are 19, 29, 73. Prime factorization of 40223 in exponential form is:
40223 = 191 × 291 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 40216 and 40223.
LCM(40216,40223) = 23 × 111 × 4571 × 191 × 291 × 731
LCM(40216,40223) = 1617608168
Related Least Common Multiples of 40216
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Related Least Common Multiples of 40223
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