What is the Least Common Multiple of 55590 and 55608?
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 55590 and 55608 is 515208120.
LCM(55590,55608) = 515208120
Least Common Multiple of 55590 and 55608 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55590 and 55608, than apply into the LCM equation.
GCF(55590,55608) = 6
LCM(55590,55608) = ( 55590 × 55608) / 6
LCM(55590,55608) = 3091248720 / 6
LCM(55590,55608) = 515208120
Least Common Multiple (LCM) of 55590 and 55608 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55590 and 55608. First we will calculate the prime factors of 55590 and 55608.
Prime Factorization of 55590
Prime factors of 55590 are 2, 3, 5, 17, 109. Prime factorization of 55590 in exponential form is:
55590 = 21 × 31 × 51 × 171 × 1091
Prime Factorization of 55608
Prime factors of 55608 are 2, 3, 7, 331. Prime factorization of 55608 in exponential form is:
55608 = 23 × 31 × 71 × 3311
Now multiplying the highest exponent prime factors to calculate the LCM of 55590 and 55608.
LCM(55590,55608) = 23 × 31 × 51 × 171 × 1091 × 71 × 3311
LCM(55590,55608) = 515208120
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