What is the Least Common Multiple of 484 and 494?
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 484 and 494 is 119548.
LCM(484,494) = 119548
Least Common Multiple of 484 and 494 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 484 and 494, than apply into the LCM equation.
GCF(484,494) = 2
LCM(484,494) = ( 484 × 494) / 2
LCM(484,494) = 239096 / 2
LCM(484,494) = 119548
Least Common Multiple (LCM) of 484 and 494 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 484 and 494. First we will calculate the prime factors of 484 and 494.
Prime Factorization of 484
Prime factors of 484 are 2, 11. Prime factorization of 484 in exponential form is:
484 = 22 × 112
Prime Factorization of 494
Prime factors of 494 are 2, 13, 19. Prime factorization of 494 in exponential form is:
494 = 21 × 131 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 484 and 494.
LCM(484,494) = 22 × 112 × 131 × 191
LCM(484,494) = 119548
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