What is the Least Common Multiple of 54136 and 54141?
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 54136 and 54141 is 2930977176.
LCM(54136,54141) = 2930977176
Least Common Multiple of 54136 and 54141 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54136 and 54141, than apply into the LCM equation.
GCF(54136,54141) = 1
LCM(54136,54141) = ( 54136 × 54141) / 1
LCM(54136,54141) = 2930977176 / 1
LCM(54136,54141) = 2930977176
Least Common Multiple (LCM) of 54136 and 54141 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54136 and 54141. First we will calculate the prime factors of 54136 and 54141.
Prime Factorization of 54136
Prime factors of 54136 are 2, 67, 101. Prime factorization of 54136 in exponential form is:
54136 = 23 × 671 × 1011
Prime Factorization of 54141
Prime factors of 54141 are 3, 18047. Prime factorization of 54141 in exponential form is:
54141 = 31 × 180471
Now multiplying the highest exponent prime factors to calculate the LCM of 54136 and 54141.
LCM(54136,54141) = 23 × 671 × 1011 × 31 × 180471
LCM(54136,54141) = 2930977176
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