What is the Least Common Multiple of 54797 and 54813?
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 54797 and 54813 is 3003587961.
LCM(54797,54813) = 3003587961
Least Common Multiple of 54797 and 54813 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54797 and 54813, than apply into the LCM equation.
GCF(54797,54813) = 1
LCM(54797,54813) = ( 54797 × 54813) / 1
LCM(54797,54813) = 3003587961 / 1
LCM(54797,54813) = 3003587961
Least Common Multiple (LCM) of 54797 and 54813 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54797 and 54813. First we will calculate the prime factors of 54797 and 54813.
Prime Factorization of 54797
Prime factors of 54797 are 37, 1481. Prime factorization of 54797 in exponential form is:
54797 = 371 × 14811
Prime Factorization of 54813
Prime factors of 54813 are 3, 11, 151. Prime factorization of 54813 in exponential form is:
54813 = 31 × 112 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 54797 and 54813.
LCM(54797,54813) = 371 × 14811 × 31 × 112 × 1511
LCM(54797,54813) = 3003587961
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