What is the Least Common Multiple of 24619 and 24627?
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 24619 and 24627 is 606292113.
LCM(24619,24627) = 606292113
Least Common Multiple of 24619 and 24627 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24619 and 24627, than apply into the LCM equation.
GCF(24619,24627) = 1
LCM(24619,24627) = ( 24619 × 24627) / 1
LCM(24619,24627) = 606292113 / 1
LCM(24619,24627) = 606292113
Least Common Multiple (LCM) of 24619 and 24627 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24619 and 24627. First we will calculate the prime factors of 24619 and 24627.
Prime Factorization of 24619
Prime factors of 24619 are 7, 3517. Prime factorization of 24619 in exponential form is:
24619 = 71 × 35171
Prime Factorization of 24627
Prime factors of 24627 are 3, 8209. Prime factorization of 24627 in exponential form is:
24627 = 31 × 82091
Now multiplying the highest exponent prime factors to calculate the LCM of 24619 and 24627.
LCM(24619,24627) = 71 × 35171 × 31 × 82091
LCM(24619,24627) = 606292113
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