What is the Least Common Multiple of 60461 and 60478?

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 60461 and 60478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60461 and 60478, than apply into the LCM equation.

GCF(60461,60478) = 1
LCM(60461,60478) = ( 60461 × 60478) / 1
LCM(60461,60478) = 3656560358 / 1
LCM(60461,60478) = 3656560358

Least Common Multiple (LCM) of 60461 and 60478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60461 and 60478. First we will calculate the prime factors of 60461 and 60478.

Prime Factorization of 60461

Prime Factorization of 60478

Now multiplying the highest exponent prime factors to calculate the LCM of 60461 and 60478.

LCM(60461,60478) = 103¹ × 587¹ × 2¹ × 11¹ × 2749¹
LCM(60461,60478) = 3656560358