What is the Least Common Multiple of 50152 and 50169?
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 50152 and 50169 is 2516075688.
LCM(50152,50169) = 2516075688
Least Common Multiple of 50152 and 50169 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50152 and 50169, than apply into the LCM equation.
GCF(50152,50169) = 1
LCM(50152,50169) = ( 50152 × 50169) / 1
LCM(50152,50169) = 2516075688 / 1
LCM(50152,50169) = 2516075688
Least Common Multiple (LCM) of 50152 and 50169 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50152 and 50169. First we will calculate the prime factors of 50152 and 50169.
Prime Factorization of 50152
Prime factors of 50152 are 2, 6269. Prime factorization of 50152 in exponential form is:
50152 = 23 × 62691
Prime Factorization of 50169
Prime factors of 50169 are 3, 7, 2389. Prime factorization of 50169 in exponential form is:
50169 = 31 × 71 × 23891
Now multiplying the highest exponent prime factors to calculate the LCM of 50152 and 50169.
LCM(50152,50169) = 23 × 62691 × 31 × 71 × 23891
LCM(50152,50169) = 2516075688
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