What is the Least Common Multiple of 8480 and 8494?

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 8494 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 8494, than apply into the LCM equation.

GCF(8480,8494) = 2
LCM(8480,8494) = ( 8480 × 8494) / 2
LCM(8480,8494) = 72029120 / 2
LCM(8480,8494) = 36014560

Least Common Multiple (LCM) of 8480 and 8494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8480 and 8494. First we will calculate the prime factors of 8480 and 8494.

Prime Factorization of 8480

Prime Factorization of 8494

Now multiplying the highest exponent prime factors to calculate the LCM of 8480 and 8494.

LCM(8480,8494) = 2⁵ × 5¹ × 53¹ × 31¹ × 137¹
LCM(8480,8494) = 36014560