What is the Least Common Multiple of 50046 and 50061?
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 50046 and 50061 is 835117602.
LCM(50046,50061) = 835117602
Least Common Multiple of 50046 and 50061 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50046 and 50061, than apply into the LCM equation.
GCF(50046,50061) = 3
LCM(50046,50061) = ( 50046 × 50061) / 3
LCM(50046,50061) = 2505352806 / 3
LCM(50046,50061) = 835117602
Least Common Multiple (LCM) of 50046 and 50061 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50046 and 50061. First we will calculate the prime factors of 50046 and 50061.
Prime Factorization of 50046
Prime factors of 50046 are 2, 3, 19, 439. Prime factorization of 50046 in exponential form is:
50046 = 21 × 31 × 191 × 4391
Prime Factorization of 50061
Prime factors of 50061 are 3, 11, 37, 41. Prime factorization of 50061 in exponential form is:
50061 = 31 × 111 × 371 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 50046 and 50061.
LCM(50046,50061) = 21 × 31 × 191 × 4391 × 111 × 371 × 411
LCM(50046,50061) = 835117602
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