What is the Least Common Multiple of 54614 and 54634?
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 54614 and 54634 is 1491890638.
LCM(54614,54634) = 1491890638
Least Common Multiple of 54614 and 54634 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54614 and 54634, than apply into the LCM equation.
GCF(54614,54634) = 2
LCM(54614,54634) = ( 54614 × 54634) / 2
LCM(54614,54634) = 2983781276 / 2
LCM(54614,54634) = 1491890638
Least Common Multiple (LCM) of 54614 and 54634 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54614 and 54634. First we will calculate the prime factors of 54614 and 54634.
Prime Factorization of 54614
Prime factors of 54614 are 2, 7, 47, 83. Prime factorization of 54614 in exponential form is:
54614 = 21 × 71 × 471 × 831
Prime Factorization of 54634
Prime factors of 54634 are 2, 59, 463. Prime factorization of 54634 in exponential form is:
54634 = 21 × 591 × 4631
Now multiplying the highest exponent prime factors to calculate the LCM of 54614 and 54634.
LCM(54614,54634) = 21 × 71 × 471 × 831 × 591 × 4631
LCM(54614,54634) = 1491890638
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Related Least Common Multiples of 54634
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