What is the Least Common Multiple of 71442 and 71456?

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 of 71442 and 71456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71442 and 71456, than apply into the LCM equation.

GCF(71442,71456) = 14
LCM(71442,71456) = ( 71442 × 71456) / 14
LCM(71442,71456) = 5104959552 / 14
LCM(71442,71456) = 364639968

Least Common Multiple (LCM) of 71442 and 71456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71442 and 71456. First we will calculate the prime factors of 71442 and 71456.

Prime Factorization of 71442

Prime Factorization of 71456

Now multiplying the highest exponent prime factors to calculate the LCM of 71442 and 71456.

LCM(71442,71456) = 2⁵ × 3⁶ × 7² × 11¹ × 29¹
LCM(71442,71456) = 364639968