What is the Least Common Multiple of 55092 and 55110?
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 55092 and 55110 is 506020020.
LCM(55092,55110) = 506020020
Least Common Multiple of 55092 and 55110 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55092 and 55110, than apply into the LCM equation.
GCF(55092,55110) = 6
LCM(55092,55110) = ( 55092 × 55110) / 6
LCM(55092,55110) = 3036120120 / 6
LCM(55092,55110) = 506020020
Least Common Multiple (LCM) of 55092 and 55110 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55092 and 55110. First we will calculate the prime factors of 55092 and 55110.
Prime Factorization of 55092
Prime factors of 55092 are 2, 3, 4591. Prime factorization of 55092 in exponential form is:
55092 = 22 × 31 × 45911
Prime Factorization of 55110
Prime factors of 55110 are 2, 3, 5, 11, 167. Prime factorization of 55110 in exponential form is:
55110 = 21 × 31 × 51 × 111 × 1671
Now multiplying the highest exponent prime factors to calculate the LCM of 55092 and 55110.
LCM(55092,55110) = 22 × 31 × 45911 × 51 × 111 × 1671
LCM(55092,55110) = 506020020
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