What is the Least Common Multiple of 60424 and 60432?

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 60424 and 60432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60424 and 60432, than apply into the LCM equation.

GCF(60424,60432) = 8
LCM(60424,60432) = ( 60424 × 60432) / 8
LCM(60424,60432) = 3651543168 / 8
LCM(60424,60432) = 456442896

Least Common Multiple (LCM) of 60424 and 60432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60424 and 60432. First we will calculate the prime factors of 60424 and 60432.

Prime Factorization of 60424

Prime Factorization of 60432

Now multiplying the highest exponent prime factors to calculate the LCM of 60424 and 60432.

LCM(60424,60432) = 2⁴ × 7¹ × 13¹ × 83¹ × 3¹ × 1259¹
LCM(60424,60432) = 456442896