What is the Least Common Multiple of 52162 and 52179?
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 52162 and 52179 is 2721760998.
LCM(52162,52179) = 2721760998
Least Common Multiple of 52162 and 52179 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52162 and 52179, than apply into the LCM equation.
GCF(52162,52179) = 1
LCM(52162,52179) = ( 52162 × 52179) / 1
LCM(52162,52179) = 2721760998 / 1
LCM(52162,52179) = 2721760998
Least Common Multiple (LCM) of 52162 and 52179 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52162 and 52179. First we will calculate the prime factors of 52162 and 52179.
Prime Factorization of 52162
Prime factors of 52162 are 2, 11, 2371. Prime factorization of 52162 in exponential form is:
52162 = 21 × 111 × 23711
Prime Factorization of 52179
Prime factors of 52179 are 3, 17393. Prime factorization of 52179 in exponential form is:
52179 = 31 × 173931
Now multiplying the highest exponent prime factors to calculate the LCM of 52162 and 52179.
LCM(52162,52179) = 21 × 111 × 23711 × 31 × 173931
LCM(52162,52179) = 2721760998
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