What is the Least Common Multiple of 54654 and 54665?
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 54654 and 54665 is 2987660910.
LCM(54654,54665) = 2987660910
Least Common Multiple of 54654 and 54665 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54654 and 54665, than apply into the LCM equation.
GCF(54654,54665) = 1
LCM(54654,54665) = ( 54654 × 54665) / 1
LCM(54654,54665) = 2987660910 / 1
LCM(54654,54665) = 2987660910
Least Common Multiple (LCM) of 54654 and 54665 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54654 and 54665. First we will calculate the prime factors of 54654 and 54665.
Prime Factorization of 54654
Prime factors of 54654 are 2, 3, 9109. Prime factorization of 54654 in exponential form is:
54654 = 21 × 31 × 91091
Prime Factorization of 54665
Prime factors of 54665 are 5, 13, 29. Prime factorization of 54665 in exponential form is:
54665 = 51 × 131 × 292
Now multiplying the highest exponent prime factors to calculate the LCM of 54654 and 54665.
LCM(54654,54665) = 21 × 31 × 91091 × 51 × 131 × 292
LCM(54654,54665) = 2987660910
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