What is the Least Common Multiple of 25150 and 25167?
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 25150 and 25167 is 632950050.
LCM(25150,25167) = 632950050
Least Common Multiple of 25150 and 25167 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25150 and 25167, than apply into the LCM equation.
GCF(25150,25167) = 1
LCM(25150,25167) = ( 25150 × 25167) / 1
LCM(25150,25167) = 632950050 / 1
LCM(25150,25167) = 632950050
Least Common Multiple (LCM) of 25150 and 25167 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25150 and 25167. First we will calculate the prime factors of 25150 and 25167.
Prime Factorization of 25150
Prime factors of 25150 are 2, 5, 503. Prime factorization of 25150 in exponential form is:
25150 = 21 × 52 × 5031
Prime Factorization of 25167
Prime factors of 25167 are 3, 8389. Prime factorization of 25167 in exponential form is:
25167 = 31 × 83891
Now multiplying the highest exponent prime factors to calculate the LCM of 25150 and 25167.
LCM(25150,25167) = 21 × 52 × 5031 × 31 × 83891
LCM(25150,25167) = 632950050
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