What is the Least Common Multiple of 54981 and 54995?
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 54981 and 54995 is 3023680095.
LCM(54981,54995) = 3023680095
Least Common Multiple of 54981 and 54995 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54981 and 54995, than apply into the LCM equation.
GCF(54981,54995) = 1
LCM(54981,54995) = ( 54981 × 54995) / 1
LCM(54981,54995) = 3023680095 / 1
LCM(54981,54995) = 3023680095
Least Common Multiple (LCM) of 54981 and 54995 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54981 and 54995. First we will calculate the prime factors of 54981 and 54995.
Prime Factorization of 54981
Prime factors of 54981 are 3, 41, 149. Prime factorization of 54981 in exponential form is:
54981 = 32 × 411 × 1491
Prime Factorization of 54995
Prime factors of 54995 are 5, 17, 647. Prime factorization of 54995 in exponential form is:
54995 = 51 × 171 × 6471
Now multiplying the highest exponent prime factors to calculate the LCM of 54981 and 54995.
LCM(54981,54995) = 32 × 411 × 1491 × 51 × 171 × 6471
LCM(54981,54995) = 3023680095
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