What is the Least Common Multiple of 56151 and 56155?
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 56151 and 56155 is 3153159405.
LCM(56151,56155) = 3153159405
Least Common Multiple of 56151 and 56155 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56151 and 56155, than apply into the LCM equation.
GCF(56151,56155) = 1
LCM(56151,56155) = ( 56151 × 56155) / 1
LCM(56151,56155) = 3153159405 / 1
LCM(56151,56155) = 3153159405
Least Common Multiple (LCM) of 56151 and 56155 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56151 and 56155. First we will calculate the prime factors of 56151 and 56155.
Prime Factorization of 56151
Prime factors of 56151 are 3, 17, 367. Prime factorization of 56151 in exponential form is:
56151 = 32 × 171 × 3671
Prime Factorization of 56155
Prime factors of 56155 are 5, 11, 1021. Prime factorization of 56155 in exponential form is:
56155 = 51 × 111 × 10211
Now multiplying the highest exponent prime factors to calculate the LCM of 56151 and 56155.
LCM(56151,56155) = 32 × 171 × 3671 × 51 × 111 × 10211
LCM(56151,56155) = 3153159405
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