What is the Least Common Multiple of 5485 and 5490?
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 5485 and 5490 is 6022530.
LCM(5485,5490) = 6022530
Least Common Multiple of 5485 and 5490 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5485 and 5490, than apply into the LCM equation.
GCF(5485,5490) = 5
LCM(5485,5490) = ( 5485 × 5490) / 5
LCM(5485,5490) = 30112650 / 5
LCM(5485,5490) = 6022530
Least Common Multiple (LCM) of 5485 and 5490 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5485 and 5490. First we will calculate the prime factors of 5485 and 5490.
Prime Factorization of 5485
Prime factors of 5485 are 5, 1097. Prime factorization of 5485 in exponential form is:
5485 = 51 × 10971
Prime Factorization of 5490
Prime factors of 5490 are 2, 3, 5, 61. Prime factorization of 5490 in exponential form is:
5490 = 21 × 32 × 51 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 5485 and 5490.
LCM(5485,5490) = 51 × 10971 × 21 × 32 × 611
LCM(5485,5490) = 6022530
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