What is the Least Common Multiple of 54962 and 54982?
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 54962 and 54982 is 1510960342.
LCM(54962,54982) = 1510960342
Least Common Multiple of 54962 and 54982 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54962 and 54982, than apply into the LCM equation.
GCF(54962,54982) = 2
LCM(54962,54982) = ( 54962 × 54982) / 2
LCM(54962,54982) = 3021920684 / 2
LCM(54962,54982) = 1510960342
Least Common Multiple (LCM) of 54962 and 54982 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54962 and 54982. First we will calculate the prime factors of 54962 and 54982.
Prime Factorization of 54962
Prime factors of 54962 are 2, 27481. Prime factorization of 54962 in exponential form is:
54962 = 21 × 274811
Prime Factorization of 54982
Prime factors of 54982 are 2, 37, 743. Prime factorization of 54982 in exponential form is:
54982 = 21 × 371 × 7431
Now multiplying the highest exponent prime factors to calculate the LCM of 54962 and 54982.
LCM(54962,54982) = 21 × 274811 × 371 × 7431
LCM(54962,54982) = 1510960342
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