What is the Least Common Multiple of 24245 and 24255?
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 24245 and 24255 is 117612495.
LCM(24245,24255) = 117612495
Least Common Multiple of 24245 and 24255 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24245 and 24255, than apply into the LCM equation.
GCF(24245,24255) = 5
LCM(24245,24255) = ( 24245 × 24255) / 5
LCM(24245,24255) = 588062475 / 5
LCM(24245,24255) = 117612495
Least Common Multiple (LCM) of 24245 and 24255 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24245 and 24255. First we will calculate the prime factors of 24245 and 24255.
Prime Factorization of 24245
Prime factors of 24245 are 5, 13, 373. Prime factorization of 24245 in exponential form is:
24245 = 51 × 131 × 3731
Prime Factorization of 24255
Prime factors of 24255 are 3, 5, 7, 11. Prime factorization of 24255 in exponential form is:
24255 = 32 × 51 × 72 × 111
Now multiplying the highest exponent prime factors to calculate the LCM of 24245 and 24255.
LCM(24245,24255) = 51 × 131 × 3731 × 32 × 72 × 111
LCM(24245,24255) = 117612495
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