What is the Least Common Multiple of 54717 and 54737?
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 54717 and 54737 is 2995044429.
LCM(54717,54737) = 2995044429
Least Common Multiple of 54717 and 54737 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54717 and 54737, than apply into the LCM equation.
GCF(54717,54737) = 1
LCM(54717,54737) = ( 54717 × 54737) / 1
LCM(54717,54737) = 2995044429 / 1
LCM(54717,54737) = 2995044429
Least Common Multiple (LCM) of 54717 and 54737 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54717 and 54737. First we will calculate the prime factors of 54717 and 54737.
Prime Factorization of 54717
Prime factors of 54717 are 3, 13, 23, 61. Prime factorization of 54717 in exponential form is:
54717 = 31 × 131 × 231 × 611
Prime Factorization of 54737
Prime factors of 54737 are 127, 431. Prime factorization of 54737 in exponential form is:
54737 = 1271 × 4311
Now multiplying the highest exponent prime factors to calculate the LCM of 54717 and 54737.
LCM(54717,54737) = 31 × 131 × 231 × 611 × 1271 × 4311
LCM(54717,54737) = 2995044429
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