What is the Least Common Multiple of 54928 and 54938?
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 54928 and 54938 is 1508817232.
LCM(54928,54938) = 1508817232
Least Common Multiple of 54928 and 54938 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54928 and 54938, than apply into the LCM equation.
GCF(54928,54938) = 2
LCM(54928,54938) = ( 54928 × 54938) / 2
LCM(54928,54938) = 3017634464 / 2
LCM(54928,54938) = 1508817232
Least Common Multiple (LCM) of 54928 and 54938 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54928 and 54938. First we will calculate the prime factors of 54928 and 54938.
Prime Factorization of 54928
Prime factors of 54928 are 2, 3433. Prime factorization of 54928 in exponential form is:
54928 = 24 × 34331
Prime Factorization of 54938
Prime factors of 54938 are 2, 13, 2113. Prime factorization of 54938 in exponential form is:
54938 = 21 × 131 × 21131
Now multiplying the highest exponent prime factors to calculate the LCM of 54928 and 54938.
LCM(54928,54938) = 24 × 34331 × 131 × 21131
LCM(54928,54938) = 1508817232
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