What is the Least Common Multiple of 24932 and 24936?
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 24932 and 24936 is 155426088.
LCM(24932,24936) = 155426088
Least Common Multiple of 24932 and 24936 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24932 and 24936, than apply into the LCM equation.
GCF(24932,24936) = 4
LCM(24932,24936) = ( 24932 × 24936) / 4
LCM(24932,24936) = 621704352 / 4
LCM(24932,24936) = 155426088
Least Common Multiple (LCM) of 24932 and 24936 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24932 and 24936. First we will calculate the prime factors of 24932 and 24936.
Prime Factorization of 24932
Prime factors of 24932 are 2, 23, 271. Prime factorization of 24932 in exponential form is:
24932 = 22 × 231 × 2711
Prime Factorization of 24936
Prime factors of 24936 are 2, 3, 1039. Prime factorization of 24936 in exponential form is:
24936 = 23 × 31 × 10391
Now multiplying the highest exponent prime factors to calculate the LCM of 24932 and 24936.
LCM(24932,24936) = 23 × 231 × 2711 × 31 × 10391
LCM(24932,24936) = 155426088
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