What is the Least Common Multiple of 8 and 760?

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 8 and 760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8 and 760, than apply into the LCM equation.

GCF(8,760) = 8
LCM(8,760) = ( 8 × 760) / 8
LCM(8,760) = 6080 / 8
LCM(8,760) = 760

Least Common Multiple (LCM) of 8 and 760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8 and 760. First we will calculate the prime factors of 8 and 760.

Prime Factorization of 8

Prime Factorization of 760

Now multiplying the highest exponent prime factors to calculate the LCM of 8 and 760.

LCM(8,760) = 2³ × 5¹ × 19¹
LCM(8,760) = 760