What is the Least Common Multiple of 60320 and 60328?

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 60320 and 60328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60320 and 60328, than apply into the LCM equation.

GCF(60320,60328) = 8
LCM(60320,60328) = ( 60320 × 60328) / 8
LCM(60320,60328) = 3638984960 / 8
LCM(60320,60328) = 454873120

Least Common Multiple (LCM) of 60320 and 60328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60320 and 60328. First we will calculate the prime factors of 60320 and 60328.

Prime Factorization of 60320

Prime Factorization of 60328

Now multiplying the highest exponent prime factors to calculate the LCM of 60320 and 60328.

LCM(60320,60328) = 2⁵ × 5¹ × 13¹ × 29¹ × 7541¹
LCM(60320,60328) = 454873120