What is the Least Common Multiple of 54764 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 54764 and 54776 is 749938216.
LCM(54764,54776) = 749938216
Least Common Multiple of 54764 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 54764 and 54776, than apply into the LCM equation.
GCF(54764,54776) = 4
LCM(54764,54776) = ( 54764 × 54776) / 4
LCM(54764,54776) = 2999752864 / 4
LCM(54764,54776) = 749938216
Least Common Multiple (LCM) of 54764 and 54776 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54764 and 54776. First we will calculate the prime factors of 54764 and 54776.
Prime Factorization of 54764
Prime factors of 54764 are 2, 13691. Prime factorization of 54764 in exponential form is:
54764 = 22 × 136911
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 54764 and 54776.
LCM(54764,54776) = 23 × 136911 × 411 × 1671
LCM(54764,54776) = 749938216
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