What is the Least Common Multiple of 54761 and 54780?
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 54761 and 54780 is 2999807580.
LCM(54761,54780) = 2999807580
Least Common Multiple of 54761 and 54780 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54761 and 54780, than apply into the LCM equation.
GCF(54761,54780) = 1
LCM(54761,54780) = ( 54761 × 54780) / 1
LCM(54761,54780) = 2999807580 / 1
LCM(54761,54780) = 2999807580
Least Common Multiple (LCM) of 54761 and 54780 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54761 and 54780. First we will calculate the prime factors of 54761 and 54780.
Prime Factorization of 54761
Prime factors of 54761 are 7, 7823. Prime factorization of 54761 in exponential form is:
54761 = 71 × 78231
Prime Factorization of 54780
Prime factors of 54780 are 2, 3, 5, 11, 83. Prime factorization of 54780 in exponential form is:
54780 = 22 × 31 × 51 × 111 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 54761 and 54780.
LCM(54761,54780) = 71 × 78231 × 22 × 31 × 51 × 111 × 831
LCM(54761,54780) = 2999807580
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