What is the Least Common Multiple of 56166 and 56184?
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 56166 and 56184 is 525938424.
LCM(56166,56184) = 525938424
Least Common Multiple of 56166 and 56184 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56166 and 56184, than apply into the LCM equation.
GCF(56166,56184) = 6
LCM(56166,56184) = ( 56166 × 56184) / 6
LCM(56166,56184) = 3155630544 / 6
LCM(56166,56184) = 525938424
Least Common Multiple (LCM) of 56166 and 56184 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56166 and 56184. First we will calculate the prime factors of 56166 and 56184.
Prime Factorization of 56166
Prime factors of 56166 are 2, 3, 11, 23, 37. Prime factorization of 56166 in exponential form is:
56166 = 21 × 31 × 111 × 231 × 371
Prime Factorization of 56184
Prime factors of 56184 are 2, 3, 2341. Prime factorization of 56184 in exponential form is:
56184 = 23 × 31 × 23411
Now multiplying the highest exponent prime factors to calculate the LCM of 56166 and 56184.
LCM(56166,56184) = 23 × 31 × 111 × 231 × 371 × 23411
LCM(56166,56184) = 525938424
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