What is the Least Common Multiple of 56153 and 56166?
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 56153 and 56166 is 3153889398.
LCM(56153,56166) = 3153889398
Least Common Multiple of 56153 and 56166 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56153 and 56166, than apply into the LCM equation.
GCF(56153,56166) = 1
LCM(56153,56166) = ( 56153 × 56166) / 1
LCM(56153,56166) = 3153889398 / 1
LCM(56153,56166) = 3153889398
Least Common Multiple (LCM) of 56153 and 56166 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56153 and 56166. First we will calculate the prime factors of 56153 and 56166.
Prime Factorization of 56153
Prime factors of 56153 are 233, 241. Prime factorization of 56153 in exponential form is:
56153 = 2331 × 2411
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
Now multiplying the highest exponent prime factors to calculate the LCM of 56153 and 56166.
LCM(56153,56166) = 2331 × 2411 × 21 × 31 × 111 × 231 × 371
LCM(56153,56166) = 3153889398
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