What is the Least Common Multiple of 454 and 474?
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 454 and 474 is 107598.
LCM(454,474) = 107598
Least Common Multiple of 454 and 474 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 454 and 474, than apply into the LCM equation.
GCF(454,474) = 2
LCM(454,474) = ( 454 × 474) / 2
LCM(454,474) = 215196 / 2
LCM(454,474) = 107598
Least Common Multiple (LCM) of 454 and 474 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 454 and 474. First we will calculate the prime factors of 454 and 474.
Prime Factorization of 454
Prime factors of 454 are 2, 227. Prime factorization of 454 in exponential form is:
454 = 21 × 2271
Prime Factorization of 474
Prime factors of 474 are 2, 3, 79. Prime factorization of 474 in exponential form is:
474 = 21 × 31 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 454 and 474.
LCM(454,474) = 21 × 2271 × 31 × 791
LCM(454,474) = 107598
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