What is the Least Common Multiple of 52913 and 52927?
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 52913 and 52927 is 400075193.
LCM(52913,52927) = 400075193
Least Common Multiple of 52913 and 52927 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52913 and 52927, than apply into the LCM equation.
GCF(52913,52927) = 7
LCM(52913,52927) = ( 52913 × 52927) / 7
LCM(52913,52927) = 2800526351 / 7
LCM(52913,52927) = 400075193
Least Common Multiple (LCM) of 52913 and 52927 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52913 and 52927. First we will calculate the prime factors of 52913 and 52927.
Prime Factorization of 52913
Prime factors of 52913 are 7, 7559. Prime factorization of 52913 in exponential form is:
52913 = 71 × 75591
Prime Factorization of 52927
Prime factors of 52927 are 7, 7561. Prime factorization of 52927 in exponential form is:
52927 = 71 × 75611
Now multiplying the highest exponent prime factors to calculate the LCM of 52913 and 52927.
LCM(52913,52927) = 71 × 75591 × 75611
LCM(52913,52927) = 400075193
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