What is the Least Common Multiple of 89054 and 89061?
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 89054 and 89061 is 1133034042.
LCM(89054,89061) = 1133034042
Least Common Multiple of 89054 and 89061 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89054 and 89061, than apply into the LCM equation.
GCF(89054,89061) = 7
LCM(89054,89061) = ( 89054 × 89061) / 7
LCM(89054,89061) = 7931238294 / 7
LCM(89054,89061) = 1133034042
Least Common Multiple (LCM) of 89054 and 89061 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 89054 and 89061. First we will calculate the prime factors of 89054 and 89061.
Prime Factorization of 89054
Prime factors of 89054 are 2, 7, 6361. Prime factorization of 89054 in exponential form is:
89054 = 21 × 71 × 63611
Prime Factorization of 89061
Prime factors of 89061 are 3, 7, 4241. Prime factorization of 89061 in exponential form is:
89061 = 31 × 71 × 42411
Now multiplying the highest exponent prime factors to calculate the LCM of 89054 and 89061.
LCM(89054,89061) = 21 × 71 × 63611 × 31 × 42411
LCM(89054,89061) = 1133034042
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