What is the Least Common Multiple of 24927 and 24937?
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 24927 and 24937 is 621604599.
LCM(24927,24937) = 621604599
Least Common Multiple of 24927 and 24937 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24927 and 24937, than apply into the LCM equation.
GCF(24927,24937) = 1
LCM(24927,24937) = ( 24927 × 24937) / 1
LCM(24927,24937) = 621604599 / 1
LCM(24927,24937) = 621604599
Least Common Multiple (LCM) of 24927 and 24937 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24927 and 24937. First we will calculate the prime factors of 24927 and 24937.
Prime Factorization of 24927
Prime factors of 24927 are 3, 7, 1187. Prime factorization of 24927 in exponential form is:
24927 = 31 × 71 × 11871
Prime Factorization of 24937
Prime factors of 24937 are 11, 2267. Prime factorization of 24937 in exponential form is:
24937 = 111 × 22671
Now multiplying the highest exponent prime factors to calculate the LCM of 24927 and 24937.
LCM(24927,24937) = 31 × 71 × 11871 × 111 × 22671
LCM(24927,24937) = 621604599
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