What is the Least Common Multiple of 55610 and 55616?
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 55610 and 55616 is 1546402880.
LCM(55610,55616) = 1546402880
Least Common Multiple of 55610 and 55616 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55610 and 55616, than apply into the LCM equation.
GCF(55610,55616) = 2
LCM(55610,55616) = ( 55610 × 55616) / 2
LCM(55610,55616) = 3092805760 / 2
LCM(55610,55616) = 1546402880
Least Common Multiple (LCM) of 55610 and 55616 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55610 and 55616. First we will calculate the prime factors of 55610 and 55616.
Prime Factorization of 55610
Prime factors of 55610 are 2, 5, 67, 83. Prime factorization of 55610 in exponential form is:
55610 = 21 × 51 × 671 × 831
Prime Factorization of 55616
Prime factors of 55616 are 2, 11, 79. Prime factorization of 55616 in exponential form is:
55616 = 26 × 111 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 55610 and 55616.
LCM(55610,55616) = 26 × 51 × 671 × 831 × 111 × 791
LCM(55610,55616) = 1546402880
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