What is the Least Common Multiple of 59472 and 59478?

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 59472 and 59478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59472 and 59478, than apply into the LCM equation.

GCF(59472,59478) = 6
LCM(59472,59478) = ( 59472 × 59478) / 6
LCM(59472,59478) = 3537275616 / 6
LCM(59472,59478) = 589545936

Least Common Multiple (LCM) of 59472 and 59478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59472 and 59478. First we will calculate the prime factors of 59472 and 59478.

Prime Factorization of 59472

Prime Factorization of 59478

Now multiplying the highest exponent prime factors to calculate the LCM of 59472 and 59478.

LCM(59472,59478) = 2⁴ × 3² × 7¹ × 59¹ × 23¹ × 431¹
LCM(59472,59478) = 589545936