What is the Least Common Multiple of 24380 and 24387?
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 24380 and 24387 is 594555060.
LCM(24380,24387) = 594555060
Least Common Multiple of 24380 and 24387 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24380 and 24387, than apply into the LCM equation.
GCF(24380,24387) = 1
LCM(24380,24387) = ( 24380 × 24387) / 1
LCM(24380,24387) = 594555060 / 1
LCM(24380,24387) = 594555060
Least Common Multiple (LCM) of 24380 and 24387 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24380 and 24387. First we will calculate the prime factors of 24380 and 24387.
Prime Factorization of 24380
Prime factors of 24380 are 2, 5, 23, 53. Prime factorization of 24380 in exponential form is:
24380 = 22 × 51 × 231 × 531
Prime Factorization of 24387
Prime factors of 24387 are 3, 11, 739. Prime factorization of 24387 in exponential form is:
24387 = 31 × 111 × 7391
Now multiplying the highest exponent prime factors to calculate the LCM of 24380 and 24387.
LCM(24380,24387) = 22 × 51 × 231 × 531 × 31 × 111 × 7391
LCM(24380,24387) = 594555060
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