What is the Least Common Multiple of 54892 and 54911?
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 54892 and 54911 is 3014174612.
LCM(54892,54911) = 3014174612
Least Common Multiple of 54892 and 54911 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54892 and 54911, than apply into the LCM equation.
GCF(54892,54911) = 1
LCM(54892,54911) = ( 54892 × 54911) / 1
LCM(54892,54911) = 3014174612 / 1
LCM(54892,54911) = 3014174612
Least Common Multiple (LCM) of 54892 and 54911 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54892 and 54911. First we will calculate the prime factors of 54892 and 54911.
Prime Factorization of 54892
Prime factors of 54892 are 2, 13723. Prime factorization of 54892 in exponential form is:
54892 = 22 × 137231
Prime Factorization of 54911
Prime factors of 54911 are 43, 1277. Prime factorization of 54911 in exponential form is:
54911 = 431 × 12771
Now multiplying the highest exponent prime factors to calculate the LCM of 54892 and 54911.
LCM(54892,54911) = 22 × 137231 × 431 × 12771
LCM(54892,54911) = 3014174612
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