What is the Least Common Multiple of 50956 and 50969?
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 50956 and 50969 is 2597176364.
LCM(50956,50969) = 2597176364
Least Common Multiple of 50956 and 50969 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50956 and 50969, than apply into the LCM equation.
GCF(50956,50969) = 1
LCM(50956,50969) = ( 50956 × 50969) / 1
LCM(50956,50969) = 2597176364 / 1
LCM(50956,50969) = 2597176364
Least Common Multiple (LCM) of 50956 and 50969 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50956 and 50969. First we will calculate the prime factors of 50956 and 50969.
Prime Factorization of 50956
Prime factors of 50956 are 2, 12739. Prime factorization of 50956 in exponential form is:
50956 = 22 × 127391
Prime Factorization of 50969
Prime factors of 50969 are 50969. Prime factorization of 50969 in exponential form is:
50969 = 509691
Now multiplying the highest exponent prime factors to calculate the LCM of 50956 and 50969.
LCM(50956,50969) = 22 × 127391 × 509691
LCM(50956,50969) = 2597176364
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