What is the Least Common Multiple of 55022 and 55031?
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 55022 and 55031 is 3027915682.
LCM(55022,55031) = 3027915682
Least Common Multiple of 55022 and 55031 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55022 and 55031, than apply into the LCM equation.
GCF(55022,55031) = 1
LCM(55022,55031) = ( 55022 × 55031) / 1
LCM(55022,55031) = 3027915682 / 1
LCM(55022,55031) = 3027915682
Least Common Multiple (LCM) of 55022 and 55031 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55022 and 55031. First we will calculate the prime factors of 55022 and 55031.
Prime Factorization of 55022
Prime factors of 55022 are 2, 11, 41, 61. Prime factorization of 55022 in exponential form is:
55022 = 21 × 111 × 411 × 611
Prime Factorization of 55031
Prime factors of 55031 are 113, 487. Prime factorization of 55031 in exponential form is:
55031 = 1131 × 4871
Now multiplying the highest exponent prime factors to calculate the LCM of 55022 and 55031.
LCM(55022,55031) = 21 × 111 × 411 × 611 × 1131 × 4871
LCM(55022,55031) = 3027915682
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