What is the Least Common Multiple of 54770 and 54776?
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 54770 and 54776 is 1500040760.
LCM(54770,54776) = 1500040760
Least Common Multiple of 54770 and 54776 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54770 and 54776, than apply into the LCM equation.
GCF(54770,54776) = 2
LCM(54770,54776) = ( 54770 × 54776) / 2
LCM(54770,54776) = 3000081520 / 2
LCM(54770,54776) = 1500040760
Least Common Multiple (LCM) of 54770 and 54776 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54770 and 54776. First we will calculate the prime factors of 54770 and 54776.
Prime Factorization of 54770
Prime factors of 54770 are 2, 5, 5477. Prime factorization of 54770 in exponential form is:
54770 = 21 × 51 × 54771
Prime Factorization of 54776
Prime factors of 54776 are 2, 41, 167. Prime factorization of 54776 in exponential form is:
54776 = 23 × 411 × 1671
Now multiplying the highest exponent prime factors to calculate the LCM of 54770 and 54776.
LCM(54770,54776) = 23 × 51 × 54771 × 411 × 1671
LCM(54770,54776) = 1500040760
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