What is the Least Common Multiple of 548 and 568?
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 548 and 568 is 77816.
LCM(548,568) = 77816
Least Common Multiple of 548 and 568 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 548 and 568, than apply into the LCM equation.
GCF(548,568) = 4
LCM(548,568) = ( 548 × 568) / 4
LCM(548,568) = 311264 / 4
LCM(548,568) = 77816
Least Common Multiple (LCM) of 548 and 568 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 548 and 568. First we will calculate the prime factors of 548 and 568.
Prime Factorization of 548
Prime factors of 548 are 2, 137. Prime factorization of 548 in exponential form is:
548 = 22 × 1371
Prime Factorization of 568
Prime factors of 568 are 2, 71. Prime factorization of 568 in exponential form is:
568 = 23 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 548 and 568.
LCM(548,568) = 23 × 1371 × 711
LCM(548,568) = 77816
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