What is the Least Common Multiple of 4454 and 4461?

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 4454 and 4461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4454 and 4461, than apply into the LCM equation.

GCF(4454,4461) = 1
LCM(4454,4461) = ( 4454 × 4461) / 1
LCM(4454,4461) = 19869294 / 1
LCM(4454,4461) = 19869294

Least Common Multiple (LCM) of 4454 and 4461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4454 and 4461. First we will calculate the prime factors of 4454 and 4461.

Prime Factorization of 4454

Prime Factorization of 4461

Now multiplying the highest exponent prime factors to calculate the LCM of 4454 and 4461.

LCM(4454,4461) = 2¹ × 17¹ × 131¹ × 3¹ × 1487¹
LCM(4454,4461) = 19869294