What is the Least Common Multiple of 50342 and 50346?
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 50342 and 50346 is 1267259166.
LCM(50342,50346) = 1267259166
Least Common Multiple of 50342 and 50346 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50342 and 50346, than apply into the LCM equation.
GCF(50342,50346) = 2
LCM(50342,50346) = ( 50342 × 50346) / 2
LCM(50342,50346) = 2534518332 / 2
LCM(50342,50346) = 1267259166
Least Common Multiple (LCM) of 50342 and 50346 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50342 and 50346. First we will calculate the prime factors of 50342 and 50346.
Prime Factorization of 50342
Prime factors of 50342 are 2, 25171. Prime factorization of 50342 in exponential form is:
50342 = 21 × 251711
Prime Factorization of 50346
Prime factors of 50346 are 2, 3, 2797. Prime factorization of 50346 in exponential form is:
50346 = 21 × 32 × 27971
Now multiplying the highest exponent prime factors to calculate the LCM of 50342 and 50346.
LCM(50342,50346) = 21 × 251711 × 32 × 27971
LCM(50342,50346) = 1267259166
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