What is the Least Common Multiple of 55445 and 55454?
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 55445 and 55454 is 3074647030.
LCM(55445,55454) = 3074647030
Least Common Multiple of 55445 and 55454 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55445 and 55454, than apply into the LCM equation.
GCF(55445,55454) = 1
LCM(55445,55454) = ( 55445 × 55454) / 1
LCM(55445,55454) = 3074647030 / 1
LCM(55445,55454) = 3074647030
Least Common Multiple (LCM) of 55445 and 55454 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55445 and 55454. First we will calculate the prime factors of 55445 and 55454.
Prime Factorization of 55445
Prime factors of 55445 are 5, 13, 853. Prime factorization of 55445 in exponential form is:
55445 = 51 × 131 × 8531
Prime Factorization of 55454
Prime factors of 55454 are 2, 7, 17, 233. Prime factorization of 55454 in exponential form is:
55454 = 21 × 71 × 171 × 2331
Now multiplying the highest exponent prime factors to calculate the LCM of 55445 and 55454.
LCM(55445,55454) = 51 × 131 × 8531 × 21 × 71 × 171 × 2331
LCM(55445,55454) = 3074647030
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