What is the Least Common Multiple of 55182 and 55195?
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 55182 and 55195 is 3045770490.
LCM(55182,55195) = 3045770490
Least Common Multiple of 55182 and 55195 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55182 and 55195, than apply into the LCM equation.
GCF(55182,55195) = 1
LCM(55182,55195) = ( 55182 × 55195) / 1
LCM(55182,55195) = 3045770490 / 1
LCM(55182,55195) = 3045770490
Least Common Multiple (LCM) of 55182 and 55195 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55182 and 55195. First we will calculate the prime factors of 55182 and 55195.
Prime Factorization of 55182
Prime factors of 55182 are 2, 3, 17, 541. Prime factorization of 55182 in exponential form is:
55182 = 21 × 31 × 171 × 5411
Prime Factorization of 55195
Prime factors of 55195 are 5, 7, 19, 83. Prime factorization of 55195 in exponential form is:
55195 = 51 × 71 × 191 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 55182 and 55195.
LCM(55182,55195) = 21 × 31 × 171 × 5411 × 51 × 71 × 191 × 831
LCM(55182,55195) = 3045770490
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