What is the Least Common Multiple of 23677 and 23683?
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 23677 and 23683 is 560742391.
LCM(23677,23683) = 560742391
Least Common Multiple of 23677 and 23683 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23677 and 23683, than apply into the LCM equation.
GCF(23677,23683) = 1
LCM(23677,23683) = ( 23677 × 23683) / 1
LCM(23677,23683) = 560742391 / 1
LCM(23677,23683) = 560742391
Least Common Multiple (LCM) of 23677 and 23683 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 23677 and 23683. First we will calculate the prime factors of 23677 and 23683.
Prime Factorization of 23677
Prime factors of 23677 are 23677. Prime factorization of 23677 in exponential form is:
23677 = 236771
Prime Factorization of 23683
Prime factors of 23683 are 11, 2153. Prime factorization of 23683 in exponential form is:
23683 = 111 × 21531
Now multiplying the highest exponent prime factors to calculate the LCM of 23677 and 23683.
LCM(23677,23683) = 236771 × 111 × 21531
LCM(23677,23683) = 560742391
Related Least Common Multiples of 23677
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Related Least Common Multiples of 23683
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- LCM of 23683 and 23688
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