What is the Least Common Multiple of 13044 and 13054?
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 13044 and 13054 is 85138188.
LCM(13044,13054) = 85138188
Least Common Multiple of 13044 and 13054 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13044 and 13054, than apply into the LCM equation.
GCF(13044,13054) = 2
LCM(13044,13054) = ( 13044 × 13054) / 2
LCM(13044,13054) = 170276376 / 2
LCM(13044,13054) = 85138188
Least Common Multiple (LCM) of 13044 and 13054 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13044 and 13054. First we will calculate the prime factors of 13044 and 13054.
Prime Factorization of 13044
Prime factors of 13044 are 2, 3, 1087. Prime factorization of 13044 in exponential form is:
13044 = 22 × 31 × 10871
Prime Factorization of 13054
Prime factors of 13054 are 2, 61, 107. Prime factorization of 13054 in exponential form is:
13054 = 21 × 611 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 13044 and 13054.
LCM(13044,13054) = 22 × 31 × 10871 × 611 × 1071
LCM(13044,13054) = 85138188
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