What is the Least Common Multiple of 52156 and 52170?
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 52156 and 52170 is 1360489260.
LCM(52156,52170) = 1360489260
Least Common Multiple of 52156 and 52170 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52156 and 52170, than apply into the LCM equation.
GCF(52156,52170) = 2
LCM(52156,52170) = ( 52156 × 52170) / 2
LCM(52156,52170) = 2720978520 / 2
LCM(52156,52170) = 1360489260
Least Common Multiple (LCM) of 52156 and 52170 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52156 and 52170. First we will calculate the prime factors of 52156 and 52170.
Prime Factorization of 52156
Prime factors of 52156 are 2, 13, 17, 59. Prime factorization of 52156 in exponential form is:
52156 = 22 × 131 × 171 × 591
Prime Factorization of 52170
Prime factors of 52170 are 2, 3, 5, 37, 47. Prime factorization of 52170 in exponential form is:
52170 = 21 × 31 × 51 × 371 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 52156 and 52170.
LCM(52156,52170) = 22 × 131 × 171 × 591 × 31 × 51 × 371 × 471
LCM(52156,52170) = 1360489260
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