What is the Least Common Multiple of 50120 and 50130?
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 50120 and 50130 is 251251560.
LCM(50120,50130) = 251251560
Least Common Multiple of 50120 and 50130 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50120 and 50130, than apply into the LCM equation.
GCF(50120,50130) = 10
LCM(50120,50130) = ( 50120 × 50130) / 10
LCM(50120,50130) = 2512515600 / 10
LCM(50120,50130) = 251251560
Least Common Multiple (LCM) of 50120 and 50130 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50120 and 50130. First we will calculate the prime factors of 50120 and 50130.
Prime Factorization of 50120
Prime factors of 50120 are 2, 5, 7, 179. Prime factorization of 50120 in exponential form is:
50120 = 23 × 51 × 71 × 1791
Prime Factorization of 50130
Prime factors of 50130 are 2, 3, 5, 557. Prime factorization of 50130 in exponential form is:
50130 = 21 × 32 × 51 × 5571
Now multiplying the highest exponent prime factors to calculate the LCM of 50120 and 50130.
LCM(50120,50130) = 23 × 51 × 71 × 1791 × 32 × 5571
LCM(50120,50130) = 251251560
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