What is the Least Common Multiple of 55130 and 55144?
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 55130 and 55144 is 1520044360.
LCM(55130,55144) = 1520044360
Least Common Multiple of 55130 and 55144 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55130 and 55144, than apply into the LCM equation.
GCF(55130,55144) = 2
LCM(55130,55144) = ( 55130 × 55144) / 2
LCM(55130,55144) = 3040088720 / 2
LCM(55130,55144) = 1520044360
Least Common Multiple (LCM) of 55130 and 55144 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55130 and 55144. First we will calculate the prime factors of 55130 and 55144.
Prime Factorization of 55130
Prime factors of 55130 are 2, 5, 37, 149. Prime factorization of 55130 in exponential form is:
55130 = 21 × 51 × 371 × 1491
Prime Factorization of 55144
Prime factors of 55144 are 2, 61, 113. Prime factorization of 55144 in exponential form is:
55144 = 23 × 611 × 1131
Now multiplying the highest exponent prime factors to calculate the LCM of 55130 and 55144.
LCM(55130,55144) = 23 × 51 × 371 × 1491 × 611 × 1131
LCM(55130,55144) = 1520044360
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