What is the Least Common Multiple of 80820 and 80827?

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 80820 and 80827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80820 and 80827, than apply into the LCM equation.

GCF(80820,80827) = 1
LCM(80820,80827) = ( 80820 × 80827) / 1
LCM(80820,80827) = 6532438140 / 1
LCM(80820,80827) = 6532438140

Least Common Multiple (LCM) of 80820 and 80827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80820 and 80827. First we will calculate the prime factors of 80820 and 80827.

Prime Factorization of 80820

Prime Factorization of 80827

Now multiplying the highest exponent prime factors to calculate the LCM of 80820 and 80827.

LCM(80820,80827) = 2² × 3² × 5¹ × 449¹ × 131¹ × 617¹
LCM(80820,80827) = 6532438140