What is the Least Common Multiple of 55663 and 55668?
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 55663 and 55668 is 3098647884.
LCM(55663,55668) = 3098647884
Least Common Multiple of 55663 and 55668 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55663 and 55668, than apply into the LCM equation.
GCF(55663,55668) = 1
LCM(55663,55668) = ( 55663 × 55668) / 1
LCM(55663,55668) = 3098647884 / 1
LCM(55663,55668) = 3098647884
Least Common Multiple (LCM) of 55663 and 55668 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55663 and 55668. First we will calculate the prime factors of 55663 and 55668.
Prime Factorization of 55663
Prime factors of 55663 are 55663. Prime factorization of 55663 in exponential form is:
55663 = 556631
Prime Factorization of 55668
Prime factors of 55668 are 2, 3, 4639. Prime factorization of 55668 in exponential form is:
55668 = 22 × 31 × 46391
Now multiplying the highest exponent prime factors to calculate the LCM of 55663 and 55668.
LCM(55663,55668) = 556631 × 22 × 31 × 46391
LCM(55663,55668) = 3098647884
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