What is the Least Common Multiple of 54460 and 54465?

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 54460 and 54465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54460 and 54465, than apply into the LCM equation.

GCF(54460,54465) = 5
LCM(54460,54465) = ( 54460 × 54465) / 5
LCM(54460,54465) = 2966163900 / 5
LCM(54460,54465) = 593232780

Least Common Multiple (LCM) of 54460 and 54465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54460 and 54465. First we will calculate the prime factors of 54460 and 54465.

Prime Factorization of 54460

Prime Factorization of 54465

Now multiplying the highest exponent prime factors to calculate the LCM of 54460 and 54465.

LCM(54460,54465) = 2² × 5¹ × 7¹ × 389¹ × 3¹ × 3631¹
LCM(54460,54465) = 593232780