What is the Least Common Multiple of 50943 and 50953?
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 50943 and 50953 is 2595698679.
LCM(50943,50953) = 2595698679
Least Common Multiple of 50943 and 50953 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50943 and 50953, than apply into the LCM equation.
GCF(50943,50953) = 1
LCM(50943,50953) = ( 50943 × 50953) / 1
LCM(50943,50953) = 2595698679 / 1
LCM(50943,50953) = 2595698679
Least Common Multiple (LCM) of 50943 and 50953 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50943 and 50953. First we will calculate the prime factors of 50943 and 50953.
Prime Factorization of 50943
Prime factors of 50943 are 3, 16981. Prime factorization of 50943 in exponential form is:
50943 = 31 × 169811
Prime Factorization of 50953
Prime factors of 50953 are 7, 29, 251. Prime factorization of 50953 in exponential form is:
50953 = 71 × 291 × 2511
Now multiplying the highest exponent prime factors to calculate the LCM of 50943 and 50953.
LCM(50943,50953) = 31 × 169811 × 71 × 291 × 2511
LCM(50943,50953) = 2595698679
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