What is the Least Common Multiple of 54953 and 54957?
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 54953 and 54957 is 3020052021.
LCM(54953,54957) = 3020052021
Least Common Multiple of 54953 and 54957 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54953 and 54957, than apply into the LCM equation.
GCF(54953,54957) = 1
LCM(54953,54957) = ( 54953 × 54957) / 1
LCM(54953,54957) = 3020052021 / 1
LCM(54953,54957) = 3020052021
Least Common Multiple (LCM) of 54953 and 54957 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54953 and 54957. First we will calculate the prime factors of 54953 and 54957.
Prime Factorization of 54953
Prime factors of 54953 are 179, 307. Prime factorization of 54953 in exponential form is:
54953 = 1791 × 3071
Prime Factorization of 54957
Prime factors of 54957 are 3, 7, 2617. Prime factorization of 54957 in exponential form is:
54957 = 31 × 71 × 26171
Now multiplying the highest exponent prime factors to calculate the LCM of 54953 and 54957.
LCM(54953,54957) = 1791 × 3071 × 31 × 71 × 26171
LCM(54953,54957) = 3020052021
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