What is the Least Common Multiple of 59470 and 59488?

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 59470 and 59488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59470 and 59488, than apply into the LCM equation.

GCF(59470,59488) = 2
LCM(59470,59488) = ( 59470 × 59488) / 2
LCM(59470,59488) = 3537751360 / 2
LCM(59470,59488) = 1768875680

Least Common Multiple (LCM) of 59470 and 59488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59470 and 59488. First we will calculate the prime factors of 59470 and 59488.

Prime Factorization of 59470

Prime Factorization of 59488

Now multiplying the highest exponent prime factors to calculate the LCM of 59470 and 59488.

LCM(59470,59488) = 2⁵ × 5¹ × 19¹ × 313¹ × 11¹ × 13²
LCM(59470,59488) = 1768875680