What is the Least Common Multiple of 24428 and 24437?
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 24428 and 24437 is 596947036.
LCM(24428,24437) = 596947036
Least Common Multiple of 24428 and 24437 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24428 and 24437, than apply into the LCM equation.
GCF(24428,24437) = 1
LCM(24428,24437) = ( 24428 × 24437) / 1
LCM(24428,24437) = 596947036 / 1
LCM(24428,24437) = 596947036
Least Common Multiple (LCM) of 24428 and 24437 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24428 and 24437. First we will calculate the prime factors of 24428 and 24437.
Prime Factorization of 24428
Prime factors of 24428 are 2, 31, 197. Prime factorization of 24428 in exponential form is:
24428 = 22 × 311 × 1971
Prime Factorization of 24437
Prime factors of 24437 are 7, 3491. Prime factorization of 24437 in exponential form is:
24437 = 71 × 34911
Now multiplying the highest exponent prime factors to calculate the LCM of 24428 and 24437.
LCM(24428,24437) = 22 × 311 × 1971 × 71 × 34911
LCM(24428,24437) = 596947036
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