What is the Least Common Multiple of 54490 and 54498?

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 54490 and 54498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54490 and 54498, than apply into the LCM equation.

GCF(54490,54498) = 2
LCM(54490,54498) = ( 54490 × 54498) / 2
LCM(54490,54498) = 2969596020 / 2
LCM(54490,54498) = 1484798010

Least Common Multiple (LCM) of 54490 and 54498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54490 and 54498. First we will calculate the prime factors of 54490 and 54498.

Prime Factorization of 54490

Prime Factorization of 54498

Now multiplying the highest exponent prime factors to calculate the LCM of 54490 and 54498.

LCM(54490,54498) = 2¹ × 5¹ × 5449¹ × 3¹ × 31¹ × 293¹
LCM(54490,54498) = 1484798010