What is the Least Common Multiple of 7454 and 7474?
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 7454 and 7474 is 27855598.
LCM(7454,7474) = 27855598
Least Common Multiple of 7454 and 7474 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7454 and 7474, than apply into the LCM equation.
GCF(7454,7474) = 2
LCM(7454,7474) = ( 7454 × 7474) / 2
LCM(7454,7474) = 55711196 / 2
LCM(7454,7474) = 27855598
Least Common Multiple (LCM) of 7454 and 7474 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7454 and 7474. First we will calculate the prime factors of 7454 and 7474.
Prime Factorization of 7454
Prime factors of 7454 are 2, 3727. Prime factorization of 7454 in exponential form is:
7454 = 21 × 37271
Prime Factorization of 7474
Prime factors of 7474 are 2, 37, 101. Prime factorization of 7474 in exponential form is:
7474 = 21 × 371 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 7454 and 7474.
LCM(7454,7474) = 21 × 37271 × 371 × 1011
LCM(7454,7474) = 27855598
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