What is the Least Common Multiple of 73411 and 73423?
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 73411 and 73423 is 5390055853.
LCM(73411,73423) = 5390055853
Least Common Multiple of 73411 and 73423 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73411 and 73423, than apply into the LCM equation.
GCF(73411,73423) = 1
LCM(73411,73423) = ( 73411 × 73423) / 1
LCM(73411,73423) = 5390055853 / 1
LCM(73411,73423) = 5390055853
Least Common Multiple (LCM) of 73411 and 73423 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 73411 and 73423. First we will calculate the prime factors of 73411 and 73423.
Prime Factorization of 73411
Prime factors of 73411 are 13, 5647. Prime factorization of 73411 in exponential form is:
73411 = 131 × 56471
Prime Factorization of 73423
Prime factors of 73423 are 7, 17, 617. Prime factorization of 73423 in exponential form is:
73423 = 71 × 171 × 6171
Now multiplying the highest exponent prime factors to calculate the LCM of 73411 and 73423.
LCM(73411,73423) = 131 × 56471 × 71 × 171 × 6171
LCM(73411,73423) = 5390055853
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