What is the Least Common Multiple of 24887 and 24903?
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 24887 and 24903 is 619760961.
LCM(24887,24903) = 619760961
Least Common Multiple of 24887 and 24903 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24887 and 24903, than apply into the LCM equation.
GCF(24887,24903) = 1
LCM(24887,24903) = ( 24887 × 24903) / 1
LCM(24887,24903) = 619760961 / 1
LCM(24887,24903) = 619760961
Least Common Multiple (LCM) of 24887 and 24903 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24887 and 24903. First we will calculate the prime factors of 24887 and 24903.
Prime Factorization of 24887
Prime factors of 24887 are 41, 607. Prime factorization of 24887 in exponential form is:
24887 = 411 × 6071
Prime Factorization of 24903
Prime factors of 24903 are 3, 2767. Prime factorization of 24903 in exponential form is:
24903 = 32 × 27671
Now multiplying the highest exponent prime factors to calculate the LCM of 24887 and 24903.
LCM(24887,24903) = 411 × 6071 × 32 × 27671
LCM(24887,24903) = 619760961
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