What is the Least Common Multiple of 55486 and 55495?
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 55486 and 55495 is 3079195570.
LCM(55486,55495) = 3079195570
Least Common Multiple of 55486 and 55495 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55486 and 55495, than apply into the LCM equation.
GCF(55486,55495) = 1
LCM(55486,55495) = ( 55486 × 55495) / 1
LCM(55486,55495) = 3079195570 / 1
LCM(55486,55495) = 3079195570
Least Common Multiple (LCM) of 55486 and 55495 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55486 and 55495. First we will calculate the prime factors of 55486 and 55495.
Prime Factorization of 55486
Prime factors of 55486 are 2, 27743. Prime factorization of 55486 in exponential form is:
55486 = 21 × 277431
Prime Factorization of 55495
Prime factors of 55495 are 5, 11, 1009. Prime factorization of 55495 in exponential form is:
55495 = 51 × 111 × 10091
Now multiplying the highest exponent prime factors to calculate the LCM of 55486 and 55495.
LCM(55486,55495) = 21 × 277431 × 51 × 111 × 10091
LCM(55486,55495) = 3079195570
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