What is the Least Common Multiple of 54739 and 54755?
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 54739 and 54755 is 2997233945.
LCM(54739,54755) = 2997233945
Least Common Multiple of 54739 and 54755 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54739 and 54755, than apply into the LCM equation.
GCF(54739,54755) = 1
LCM(54739,54755) = ( 54739 × 54755) / 1
LCM(54739,54755) = 2997233945 / 1
LCM(54739,54755) = 2997233945
Least Common Multiple (LCM) of 54739 and 54755 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54739 and 54755. First we will calculate the prime factors of 54739 and 54755.
Prime Factorization of 54739
Prime factors of 54739 are 19, 43, 67. Prime factorization of 54739 in exponential form is:
54739 = 191 × 431 × 671
Prime Factorization of 54755
Prime factors of 54755 are 5, 47, 233. Prime factorization of 54755 in exponential form is:
54755 = 51 × 471 × 2331
Now multiplying the highest exponent prime factors to calculate the LCM of 54739 and 54755.
LCM(54739,54755) = 191 × 431 × 671 × 51 × 471 × 2331
LCM(54739,54755) = 2997233945
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