What is the Least Common Multiple of 55191 and 55204?
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 55191 and 55204 is 3046763964.
LCM(55191,55204) = 3046763964
Least Common Multiple of 55191 and 55204 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55191 and 55204, than apply into the LCM equation.
GCF(55191,55204) = 1
LCM(55191,55204) = ( 55191 × 55204) / 1
LCM(55191,55204) = 3046763964 / 1
LCM(55191,55204) = 3046763964
Least Common Multiple (LCM) of 55191 and 55204 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55191 and 55204. First we will calculate the prime factors of 55191 and 55204.
Prime Factorization of 55191
Prime factors of 55191 are 3, 18397. Prime factorization of 55191 in exponential form is:
55191 = 31 × 183971
Prime Factorization of 55204
Prime factors of 55204 are 2, 37, 373. Prime factorization of 55204 in exponential form is:
55204 = 22 × 371 × 3731
Now multiplying the highest exponent prime factors to calculate the LCM of 55191 and 55204.
LCM(55191,55204) = 31 × 183971 × 22 × 371 × 3731
LCM(55191,55204) = 3046763964
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