What is the Least Common Multiple of 50246 and 50263?
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 50246 and 50263 is 2525514698.
LCM(50246,50263) = 2525514698
Least Common Multiple of 50246 and 50263 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50246 and 50263, than apply into the LCM equation.
GCF(50246,50263) = 1
LCM(50246,50263) = ( 50246 × 50263) / 1
LCM(50246,50263) = 2525514698 / 1
LCM(50246,50263) = 2525514698
Least Common Multiple (LCM) of 50246 and 50263 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50246 and 50263. First we will calculate the prime factors of 50246 and 50263.
Prime Factorization of 50246
Prime factors of 50246 are 2, 7, 37, 97. Prime factorization of 50246 in exponential form is:
50246 = 21 × 71 × 371 × 971
Prime Factorization of 50263
Prime factors of 50263 are 50263. Prime factorization of 50263 in exponential form is:
50263 = 502631
Now multiplying the highest exponent prime factors to calculate the LCM of 50246 and 50263.
LCM(50246,50263) = 21 × 71 × 371 × 971 × 502631
LCM(50246,50263) = 2525514698
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