What is the Least Common Multiple of 8480 and 8498?

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 8480 and 8498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8480 and 8498, than apply into the LCM equation.

GCF(8480,8498) = 2
LCM(8480,8498) = ( 8480 × 8498) / 2
LCM(8480,8498) = 72063040 / 2
LCM(8480,8498) = 36031520

Least Common Multiple (LCM) of 8480 and 8498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8480 and 8498. First we will calculate the prime factors of 8480 and 8498.

Prime Factorization of 8480

Prime Factorization of 8498

Now multiplying the highest exponent prime factors to calculate the LCM of 8480 and 8498.

LCM(8480,8498) = 2⁵ × 5¹ × 53¹ × 7¹ × 607¹
LCM(8480,8498) = 36031520