What is the Least Common Multiple of 55211 and 55222?
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 55211 and 55222 is 3048861842.
LCM(55211,55222) = 3048861842
Least Common Multiple of 55211 and 55222 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55211 and 55222, than apply into the LCM equation.
GCF(55211,55222) = 1
LCM(55211,55222) = ( 55211 × 55222) / 1
LCM(55211,55222) = 3048861842 / 1
LCM(55211,55222) = 3048861842
Least Common Multiple (LCM) of 55211 and 55222 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55211 and 55222. First we will calculate the prime factors of 55211 and 55222.
Prime Factorization of 55211
Prime factors of 55211 are 13, 31, 137. Prime factorization of 55211 in exponential form is:
55211 = 131 × 311 × 1371
Prime Factorization of 55222
Prime factors of 55222 are 2, 27611. Prime factorization of 55222 in exponential form is:
55222 = 21 × 276111
Now multiplying the highest exponent prime factors to calculate the LCM of 55211 and 55222.
LCM(55211,55222) = 131 × 311 × 1371 × 21 × 276111
LCM(55211,55222) = 3048861842
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