What is the Least Common Multiple of 54550 and 54560?
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 54550 and 54560 is 297624800.
LCM(54550,54560) = 297624800
Least Common Multiple of 54550 and 54560 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54550 and 54560, than apply into the LCM equation.
GCF(54550,54560) = 10
LCM(54550,54560) = ( 54550 × 54560) / 10
LCM(54550,54560) = 2976248000 / 10
LCM(54550,54560) = 297624800
Least Common Multiple (LCM) of 54550 and 54560 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54550 and 54560. First we will calculate the prime factors of 54550 and 54560.
Prime Factorization of 54550
Prime factors of 54550 are 2, 5, 1091. Prime factorization of 54550 in exponential form is:
54550 = 21 × 52 × 10911
Prime Factorization of 54560
Prime factors of 54560 are 2, 5, 11, 31. Prime factorization of 54560 in exponential form is:
54560 = 25 × 51 × 111 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 54550 and 54560.
LCM(54550,54560) = 25 × 52 × 10911 × 111 × 311
LCM(54550,54560) = 297624800
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