What is the Least Common Multiple of 54666 and 54677?
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 54666 and 54677 is 2988972882.
LCM(54666,54677) = 2988972882
Least Common Multiple of 54666 and 54677 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54666 and 54677, than apply into the LCM equation.
GCF(54666,54677) = 1
LCM(54666,54677) = ( 54666 × 54677) / 1
LCM(54666,54677) = 2988972882 / 1
LCM(54666,54677) = 2988972882
Least Common Multiple (LCM) of 54666 and 54677 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54666 and 54677. First we will calculate the prime factors of 54666 and 54677.
Prime Factorization of 54666
Prime factors of 54666 are 2, 3, 3037. Prime factorization of 54666 in exponential form is:
54666 = 21 × 32 × 30371
Prime Factorization of 54677
Prime factors of 54677 are 7, 73, 107. Prime factorization of 54677 in exponential form is:
54677 = 71 × 731 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 54666 and 54677.
LCM(54666,54677) = 21 × 32 × 30371 × 71 × 731 × 1071
LCM(54666,54677) = 2988972882
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