What is the Least Common Multiple of 4490 and 4496?

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 4490 and 4496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4490 and 4496, than apply into the LCM equation.

GCF(4490,4496) = 2
LCM(4490,4496) = ( 4490 × 4496) / 2
LCM(4490,4496) = 20187040 / 2
LCM(4490,4496) = 10093520

Least Common Multiple (LCM) of 4490 and 4496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4490 and 4496. First we will calculate the prime factors of 4490 and 4496.

Prime Factorization of 4490

Prime Factorization of 4496

Now multiplying the highest exponent prime factors to calculate the LCM of 4490 and 4496.

LCM(4490,4496) = 2⁴ × 5¹ × 449¹ × 281¹
LCM(4490,4496) = 10093520