What is the Least Common Multiple of 54862 and 54873?
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 54862 and 54873 is 3010442526.
LCM(54862,54873) = 3010442526
Least Common Multiple of 54862 and 54873 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54862 and 54873, than apply into the LCM equation.
GCF(54862,54873) = 1
LCM(54862,54873) = ( 54862 × 54873) / 1
LCM(54862,54873) = 3010442526 / 1
LCM(54862,54873) = 3010442526
Least Common Multiple (LCM) of 54862 and 54873 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54862 and 54873. First we will calculate the prime factors of 54862 and 54873.
Prime Factorization of 54862
Prime factors of 54862 are 2, 27431. Prime factorization of 54862 in exponential form is:
54862 = 21 × 274311
Prime Factorization of 54873
Prime factors of 54873 are 3, 7, 13, 67. Prime factorization of 54873 in exponential form is:
54873 = 32 × 71 × 131 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 54862 and 54873.
LCM(54862,54873) = 21 × 274311 × 32 × 71 × 131 × 671
LCM(54862,54873) = 3010442526
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