What is the Least Common Multiple of 54076 and 54083?
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 54076 and 54083 is 2924592308.
LCM(54076,54083) = 2924592308
Least Common Multiple of 54076 and 54083 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54076 and 54083, than apply into the LCM equation.
GCF(54076,54083) = 1
LCM(54076,54083) = ( 54076 × 54083) / 1
LCM(54076,54083) = 2924592308 / 1
LCM(54076,54083) = 2924592308
Least Common Multiple (LCM) of 54076 and 54083 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54076 and 54083. First we will calculate the prime factors of 54076 and 54083.
Prime Factorization of 54076
Prime factors of 54076 are 2, 11, 1229. Prime factorization of 54076 in exponential form is:
54076 = 22 × 111 × 12291
Prime Factorization of 54083
Prime factors of 54083 are 54083. Prime factorization of 54083 in exponential form is:
54083 = 540831
Now multiplying the highest exponent prime factors to calculate the LCM of 54076 and 54083.
LCM(54076,54083) = 22 × 111 × 12291 × 540831
LCM(54076,54083) = 2924592308
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