What is the Least Common Multiple of 4460 and 4478?

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 4460 and 4478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4460 and 4478, than apply into the LCM equation.

GCF(4460,4478) = 2
LCM(4460,4478) = ( 4460 × 4478) / 2
LCM(4460,4478) = 19971880 / 2
LCM(4460,4478) = 9985940

Least Common Multiple (LCM) of 4460 and 4478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4460 and 4478. First we will calculate the prime factors of 4460 and 4478.

Prime Factorization of 4460

Prime Factorization of 4478

Now multiplying the highest exponent prime factors to calculate the LCM of 4460 and 4478.

LCM(4460,4478) = 2² × 5¹ × 223¹ × 2239¹
LCM(4460,4478) = 9985940