What is the Least Common Multiple of 24907 and 24926?
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 24907 and 24926 is 620831882.
LCM(24907,24926) = 620831882
Least Common Multiple of 24907 and 24926 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24907 and 24926, than apply into the LCM equation.
GCF(24907,24926) = 1
LCM(24907,24926) = ( 24907 × 24926) / 1
LCM(24907,24926) = 620831882 / 1
LCM(24907,24926) = 620831882
Least Common Multiple (LCM) of 24907 and 24926 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24907 and 24926. First we will calculate the prime factors of 24907 and 24926.
Prime Factorization of 24907
Prime factors of 24907 are 24907. Prime factorization of 24907 in exponential form is:
24907 = 249071
Prime Factorization of 24926
Prime factors of 24926 are 2, 11, 103. Prime factorization of 24926 in exponential form is:
24926 = 21 × 112 × 1031
Now multiplying the highest exponent prime factors to calculate the LCM of 24907 and 24926.
LCM(24907,24926) = 249071 × 21 × 112 × 1031
LCM(24907,24926) = 620831882
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