What is the Least Common Multiple of 56186 and 56203?
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 56186 and 56203 is 3157821758.
LCM(56186,56203) = 3157821758
Least Common Multiple of 56186 and 56203 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56186 and 56203, than apply into the LCM equation.
GCF(56186,56203) = 1
LCM(56186,56203) = ( 56186 × 56203) / 1
LCM(56186,56203) = 3157821758 / 1
LCM(56186,56203) = 3157821758
Least Common Multiple (LCM) of 56186 and 56203 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56186 and 56203. First we will calculate the prime factors of 56186 and 56203.
Prime Factorization of 56186
Prime factors of 56186 are 2, 13, 2161. Prime factorization of 56186 in exponential form is:
56186 = 21 × 131 × 21611
Prime Factorization of 56203
Prime factors of 56203 are 7, 31, 37. Prime factorization of 56203 in exponential form is:
56203 = 72 × 311 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 56186 and 56203.
LCM(56186,56203) = 21 × 131 × 21611 × 72 × 311 × 371
LCM(56186,56203) = 3157821758
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