What is the Least Common Multiple of 55137 and 55146?
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 55137 and 55146 is 1013528334.
LCM(55137,55146) = 1013528334
Least Common Multiple of 55137 and 55146 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55137 and 55146, than apply into the LCM equation.
GCF(55137,55146) = 3
LCM(55137,55146) = ( 55137 × 55146) / 3
LCM(55137,55146) = 3040585002 / 3
LCM(55137,55146) = 1013528334
Least Common Multiple (LCM) of 55137 and 55146 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55137 and 55146. First we will calculate the prime factors of 55137 and 55146.
Prime Factorization of 55137
Prime factors of 55137 are 3, 18379. Prime factorization of 55137 in exponential form is:
55137 = 31 × 183791
Prime Factorization of 55146
Prime factors of 55146 are 2, 3, 7, 13, 101. Prime factorization of 55146 in exponential form is:
55146 = 21 × 31 × 71 × 131 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 55137 and 55146.
LCM(55137,55146) = 31 × 183791 × 21 × 71 × 131 × 1011
LCM(55137,55146) = 1013528334
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