What is the Least Common Multiple of 24131 and 24137?
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 24131 and 24137 is 582449947.
LCM(24131,24137) = 582449947
Least Common Multiple of 24131 and 24137 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24131 and 24137, than apply into the LCM equation.
GCF(24131,24137) = 1
LCM(24131,24137) = ( 24131 × 24137) / 1
LCM(24131,24137) = 582449947 / 1
LCM(24131,24137) = 582449947
Least Common Multiple (LCM) of 24131 and 24137 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24131 and 24137. First we will calculate the prime factors of 24131 and 24137.
Prime Factorization of 24131
Prime factors of 24131 are 59, 409. Prime factorization of 24131 in exponential form is:
24131 = 591 × 4091
Prime Factorization of 24137
Prime factors of 24137 are 24137. Prime factorization of 24137 in exponential form is:
24137 = 241371
Now multiplying the highest exponent prime factors to calculate the LCM of 24131 and 24137.
LCM(24131,24137) = 591 × 4091 × 241371
LCM(24131,24137) = 582449947
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