What is the Least Common Multiple of 52941 and 52945?
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 52941 and 52945 is 2802961245.
LCM(52941,52945) = 2802961245
Least Common Multiple of 52941 and 52945 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52941 and 52945, than apply into the LCM equation.
GCF(52941,52945) = 1
LCM(52941,52945) = ( 52941 × 52945) / 1
LCM(52941,52945) = 2802961245 / 1
LCM(52941,52945) = 2802961245
Least Common Multiple (LCM) of 52941 and 52945 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52941 and 52945. First we will calculate the prime factors of 52941 and 52945.
Prime Factorization of 52941
Prime factors of 52941 are 3, 7, 2521. Prime factorization of 52941 in exponential form is:
52941 = 31 × 71 × 25211
Prime Factorization of 52945
Prime factors of 52945 are 5, 10589. Prime factorization of 52945 in exponential form is:
52945 = 51 × 105891
Now multiplying the highest exponent prime factors to calculate the LCM of 52941 and 52945.
LCM(52941,52945) = 31 × 71 × 25211 × 51 × 105891
LCM(52941,52945) = 2802961245
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