What is the Least Common Multiple of 24273 and 24277?
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 24273 and 24277 is 589275621.
LCM(24273,24277) = 589275621
Least Common Multiple of 24273 and 24277 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24273 and 24277, than apply into the LCM equation.
GCF(24273,24277) = 1
LCM(24273,24277) = ( 24273 × 24277) / 1
LCM(24273,24277) = 589275621 / 1
LCM(24273,24277) = 589275621
Least Common Multiple (LCM) of 24273 and 24277 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24273 and 24277. First we will calculate the prime factors of 24273 and 24277.
Prime Factorization of 24273
Prime factors of 24273 are 3, 29, 31. Prime factorization of 24273 in exponential form is:
24273 = 33 × 291 × 311
Prime Factorization of 24277
Prime factors of 24277 are 11, 2207. Prime factorization of 24277 in exponential form is:
24277 = 111 × 22071
Now multiplying the highest exponent prime factors to calculate the LCM of 24273 and 24277.
LCM(24273,24277) = 33 × 291 × 311 × 111 × 22071
LCM(24273,24277) = 589275621
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