What is the Least Common Multiple of 54934 and 54953?
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 54934 and 54953 is 3018788102.
LCM(54934,54953) = 3018788102
Least Common Multiple of 54934 and 54953 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54934 and 54953, than apply into the LCM equation.
GCF(54934,54953) = 1
LCM(54934,54953) = ( 54934 × 54953) / 1
LCM(54934,54953) = 3018788102 / 1
LCM(54934,54953) = 3018788102
Least Common Multiple (LCM) of 54934 and 54953 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54934 and 54953. First we will calculate the prime factors of 54934 and 54953.
Prime Factorization of 54934
Prime factors of 54934 are 2, 11, 227. Prime factorization of 54934 in exponential form is:
54934 = 21 × 112 × 2271
Prime Factorization of 54953
Prime factors of 54953 are 179, 307. Prime factorization of 54953 in exponential form is:
54953 = 1791 × 3071
Now multiplying the highest exponent prime factors to calculate the LCM of 54934 and 54953.
LCM(54934,54953) = 21 × 112 × 2271 × 1791 × 3071
LCM(54934,54953) = 3018788102
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