What is the Least Common Multiple of 25673 and 25692?
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 25673 and 25692 is 659590716.
LCM(25673,25692) = 659590716
Least Common Multiple of 25673 and 25692 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25673 and 25692, than apply into the LCM equation.
GCF(25673,25692) = 1
LCM(25673,25692) = ( 25673 × 25692) / 1
LCM(25673,25692) = 659590716 / 1
LCM(25673,25692) = 659590716
Least Common Multiple (LCM) of 25673 and 25692 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25673 and 25692. First we will calculate the prime factors of 25673 and 25692.
Prime Factorization of 25673
Prime factors of 25673 are 25673. Prime factorization of 25673 in exponential form is:
25673 = 256731
Prime Factorization of 25692
Prime factors of 25692 are 2, 3, 2141. Prime factorization of 25692 in exponential form is:
25692 = 22 × 31 × 21411
Now multiplying the highest exponent prime factors to calculate the LCM of 25673 and 25692.
LCM(25673,25692) = 256731 × 22 × 31 × 21411
LCM(25673,25692) = 659590716
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