What is the Least Common Multiple of 57155 and 57164?
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 57155 and 57164 is 3267208420.
LCM(57155,57164) = 3267208420
Least Common Multiple of 57155 and 57164 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57155 and 57164, than apply into the LCM equation.
GCF(57155,57164) = 1
LCM(57155,57164) = ( 57155 × 57164) / 1
LCM(57155,57164) = 3267208420 / 1
LCM(57155,57164) = 3267208420
Least Common Multiple (LCM) of 57155 and 57164 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 57155 and 57164. First we will calculate the prime factors of 57155 and 57164.
Prime Factorization of 57155
Prime factors of 57155 are 5, 7, 23, 71. Prime factorization of 57155 in exponential form is:
57155 = 51 × 71 × 231 × 711
Prime Factorization of 57164
Prime factors of 57164 are 2, 31, 461. Prime factorization of 57164 in exponential form is:
57164 = 22 × 311 × 4611
Now multiplying the highest exponent prime factors to calculate the LCM of 57155 and 57164.
LCM(57155,57164) = 51 × 71 × 231 × 711 × 22 × 311 × 4611
LCM(57155,57164) = 3267208420
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