What is the Least Common Multiple of 24890 and 24908?
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 24890 and 24908 is 309980060.
LCM(24890,24908) = 309980060
Least Common Multiple of 24890 and 24908 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24890 and 24908, than apply into the LCM equation.
GCF(24890,24908) = 2
LCM(24890,24908) = ( 24890 × 24908) / 2
LCM(24890,24908) = 619960120 / 2
LCM(24890,24908) = 309980060
Least Common Multiple (LCM) of 24890 and 24908 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24890 and 24908. First we will calculate the prime factors of 24890 and 24908.
Prime Factorization of 24890
Prime factors of 24890 are 2, 5, 19, 131. Prime factorization of 24890 in exponential form is:
24890 = 21 × 51 × 191 × 1311
Prime Factorization of 24908
Prime factors of 24908 are 2, 13, 479. Prime factorization of 24908 in exponential form is:
24908 = 22 × 131 × 4791
Now multiplying the highest exponent prime factors to calculate the LCM of 24890 and 24908.
LCM(24890,24908) = 22 × 51 × 191 × 1311 × 131 × 4791
LCM(24890,24908) = 309980060
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