What is the Least Common Multiple of 60448 and 60454?
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 60448 and 60454 is 1827161696.
LCM(60448,60454) = 1827161696
Least Common Multiple of 60448 and 60454 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60448 and 60454, than apply into the LCM equation.
GCF(60448,60454) = 2
LCM(60448,60454) = ( 60448 × 60454) / 2
LCM(60448,60454) = 3654323392 / 2
LCM(60448,60454) = 1827161696
Least Common Multiple (LCM) of 60448 and 60454 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60448 and 60454. First we will calculate the prime factors of 60448 and 60454.
Prime Factorization of 60448
Prime factors of 60448 are 2, 1889. Prime factorization of 60448 in exponential form is:
60448 = 25 × 18891
Prime Factorization of 60454
Prime factors of 60454 are 2, 167, 181. Prime factorization of 60454 in exponential form is:
60454 = 21 × 1671 × 1811
Now multiplying the highest exponent prime factors to calculate the LCM of 60448 and 60454.
LCM(60448,60454) = 25 × 18891 × 1671 × 1811
LCM(60448,60454) = 1827161696
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