What is the Least Common Multiple of 60454 and 60470?

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 60454 and 60470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60454 and 60470, than apply into the LCM equation.

GCF(60454,60470) = 2
LCM(60454,60470) = ( 60454 × 60470) / 2
LCM(60454,60470) = 3655653380 / 2
LCM(60454,60470) = 1827826690

Least Common Multiple (LCM) of 60454 and 60470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60454 and 60470. First we will calculate the prime factors of 60454 and 60470.

Prime Factorization of 60454

Prime Factorization of 60470

Now multiplying the highest exponent prime factors to calculate the LCM of 60454 and 60470.

LCM(60454,60470) = 2¹ × 167¹ × 181¹ × 5¹ × 6047¹
LCM(60454,60470) = 1827826690