What is the Least Common Multiple of 54280 and 54299?
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 54280 and 54299 is 2947349720.
LCM(54280,54299) = 2947349720
Least Common Multiple of 54280 and 54299 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54280 and 54299, than apply into the LCM equation.
GCF(54280,54299) = 1
LCM(54280,54299) = ( 54280 × 54299) / 1
LCM(54280,54299) = 2947349720 / 1
LCM(54280,54299) = 2947349720
Least Common Multiple (LCM) of 54280 and 54299 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54280 and 54299. First we will calculate the prime factors of 54280 and 54299.
Prime Factorization of 54280
Prime factors of 54280 are 2, 5, 23, 59. Prime factorization of 54280 in exponential form is:
54280 = 23 × 51 × 231 × 591
Prime Factorization of 54299
Prime factors of 54299 are 7, 7757. Prime factorization of 54299 in exponential form is:
54299 = 71 × 77571
Now multiplying the highest exponent prime factors to calculate the LCM of 54280 and 54299.
LCM(54280,54299) = 23 × 51 × 231 × 591 × 71 × 77571
LCM(54280,54299) = 2947349720
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