What is the Least Common Multiple of 24137 and 24150?
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 24137 and 24150 is 582908550.
LCM(24137,24150) = 582908550
Least Common Multiple of 24137 and 24150 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24137 and 24150, than apply into the LCM equation.
GCF(24137,24150) = 1
LCM(24137,24150) = ( 24137 × 24150) / 1
LCM(24137,24150) = 582908550 / 1
LCM(24137,24150) = 582908550
Least Common Multiple (LCM) of 24137 and 24150 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24137 and 24150. First we will calculate the prime factors of 24137 and 24150.
Prime Factorization of 24137
Prime factors of 24137 are 24137. Prime factorization of 24137 in exponential form is:
24137 = 241371
Prime Factorization of 24150
Prime factors of 24150 are 2, 3, 5, 7, 23. Prime factorization of 24150 in exponential form is:
24150 = 21 × 31 × 52 × 71 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 24137 and 24150.
LCM(24137,24150) = 241371 × 21 × 31 × 52 × 71 × 231
LCM(24137,24150) = 582908550
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