What is the Least Common Multiple of 54957 and 54973?
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 54957 and 54973 is 3021151161.
LCM(54957,54973) = 3021151161
Least Common Multiple of 54957 and 54973 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54957 and 54973, than apply into the LCM equation.
GCF(54957,54973) = 1
LCM(54957,54973) = ( 54957 × 54973) / 1
LCM(54957,54973) = 3021151161 / 1
LCM(54957,54973) = 3021151161
Least Common Multiple (LCM) of 54957 and 54973 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54957 and 54973. First we will calculate the prime factors of 54957 and 54973.
Prime Factorization of 54957
Prime factors of 54957 are 3, 7, 2617. Prime factorization of 54957 in exponential form is:
54957 = 31 × 71 × 26171
Prime Factorization of 54973
Prime factors of 54973 are 54973. Prime factorization of 54973 in exponential form is:
54973 = 549731
Now multiplying the highest exponent prime factors to calculate the LCM of 54957 and 54973.
LCM(54957,54973) = 31 × 71 × 26171 × 549731
LCM(54957,54973) = 3021151161
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