What is the Least Common Multiple of 5407 and 5423?
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 5407 and 5423 is 29322161.
LCM(5407,5423) = 29322161
Least Common Multiple of 5407 and 5423 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5407 and 5423, than apply into the LCM equation.
GCF(5407,5423) = 1
LCM(5407,5423) = ( 5407 × 5423) / 1
LCM(5407,5423) = 29322161 / 1
LCM(5407,5423) = 29322161
Least Common Multiple (LCM) of 5407 and 5423 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5407 and 5423. First we will calculate the prime factors of 5407 and 5423.
Prime Factorization of 5407
Prime factors of 5407 are 5407. Prime factorization of 5407 in exponential form is:
5407 = 54071
Prime Factorization of 5423
Prime factors of 5423 are 11, 17, 29. Prime factorization of 5423 in exponential form is:
5423 = 111 × 171 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 5407 and 5423.
LCM(5407,5423) = 54071 × 111 × 171 × 291
LCM(5407,5423) = 29322161
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