What is the Least Common Multiple of 56149 and 56169?
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 56149 and 56169 is 3153833181.
LCM(56149,56169) = 3153833181
Least Common Multiple of 56149 and 56169 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56149 and 56169, than apply into the LCM equation.
GCF(56149,56169) = 1
LCM(56149,56169) = ( 56149 × 56169) / 1
LCM(56149,56169) = 3153833181 / 1
LCM(56149,56169) = 3153833181
Least Common Multiple (LCM) of 56149 and 56169 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56149 and 56169. First we will calculate the prime factors of 56149 and 56169.
Prime Factorization of 56149
Prime factors of 56149 are 56149. Prime factorization of 56149 in exponential form is:
56149 = 561491
Prime Factorization of 56169
Prime factors of 56169 are 3, 79. Prime factorization of 56169 in exponential form is:
56169 = 32 × 792
Now multiplying the highest exponent prime factors to calculate the LCM of 56149 and 56169.
LCM(56149,56169) = 561491 × 32 × 792
LCM(56149,56169) = 3153833181
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