What is the Least Common Multiple of 60408 and 60424?

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 60408 and 60424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60408 and 60424, than apply into the LCM equation.

GCF(60408,60424) = 8
LCM(60408,60424) = ( 60408 × 60424) / 8
LCM(60408,60424) = 3650092992 / 8
LCM(60408,60424) = 456261624

Least Common Multiple (LCM) of 60408 and 60424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60408 and 60424. First we will calculate the prime factors of 60408 and 60424.

Prime Factorization of 60408

Prime Factorization of 60424

Now multiplying the highest exponent prime factors to calculate the LCM of 60408 and 60424.

LCM(60408,60424) = 2³ × 3² × 839¹ × 7¹ × 13¹ × 83¹
LCM(60408,60424) = 456261624