What is the Least Common Multiple of 55532 and 55551?
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 55532 and 55551 is 3084858132.
LCM(55532,55551) = 3084858132
Least Common Multiple of 55532 and 55551 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55532 and 55551, than apply into the LCM equation.
GCF(55532,55551) = 1
LCM(55532,55551) = ( 55532 × 55551) / 1
LCM(55532,55551) = 3084858132 / 1
LCM(55532,55551) = 3084858132
Least Common Multiple (LCM) of 55532 and 55551 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55532 and 55551. First we will calculate the prime factors of 55532 and 55551.
Prime Factorization of 55532
Prime factors of 55532 are 2, 13883. Prime factorization of 55532 in exponential form is:
55532 = 22 × 138831
Prime Factorization of 55551
Prime factors of 55551 are 3, 18517. Prime factorization of 55551 in exponential form is:
55551 = 31 × 185171
Now multiplying the highest exponent prime factors to calculate the LCM of 55532 and 55551.
LCM(55532,55551) = 22 × 138831 × 31 × 185171
LCM(55532,55551) = 3084858132
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