What is the Least Common Multiple of 54717 and 54722?
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 54722 is 2994223674.
LCM(54717,54722) = 2994223674
Least Common Multiple of 54717 and 54722 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 54722, than apply into the LCM equation.
GCF(54717,54722) = 1
LCM(54717,54722) = ( 54717 × 54722) / 1
LCM(54717,54722) = 2994223674 / 1
LCM(54717,54722) = 2994223674
Least Common Multiple (LCM) of 54717 and 54722 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54717 and 54722. First we will calculate the prime factors of 54717 and 54722.
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 54722
Prime factors of 54722 are 2, 27361. Prime factorization of 54722 in exponential form is:
54722 = 21 × 273611
Now multiplying the highest exponent prime factors to calculate the LCM of 54717 and 54722.
LCM(54717,54722) = 31 × 131 × 231 × 611 × 21 × 273611
LCM(54717,54722) = 2994223674
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