What is the Least Common Multiple of 25424 and 25435?
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 25424 and 25435 is 646659440.
LCM(25424,25435) = 646659440
Least Common Multiple of 25424 and 25435 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25424 and 25435, than apply into the LCM equation.
GCF(25424,25435) = 1
LCM(25424,25435) = ( 25424 × 25435) / 1
LCM(25424,25435) = 646659440 / 1
LCM(25424,25435) = 646659440
Least Common Multiple (LCM) of 25424 and 25435 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25424 and 25435. First we will calculate the prime factors of 25424 and 25435.
Prime Factorization of 25424
Prime factors of 25424 are 2, 7, 227. Prime factorization of 25424 in exponential form is:
25424 = 24 × 71 × 2271
Prime Factorization of 25435
Prime factors of 25435 are 5, 5087. Prime factorization of 25435 in exponential form is:
25435 = 51 × 50871
Now multiplying the highest exponent prime factors to calculate the LCM of 25424 and 25435.
LCM(25424,25435) = 24 × 71 × 2271 × 51 × 50871
LCM(25424,25435) = 646659440
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