What is the Least Common Multiple of 80635 and 80648?

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 80635 and 80648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80635 and 80648, than apply into the LCM equation.

GCF(80635,80648) = 1
LCM(80635,80648) = ( 80635 × 80648) / 1
LCM(80635,80648) = 6503051480 / 1
LCM(80635,80648) = 6503051480

Least Common Multiple (LCM) of 80635 and 80648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80635 and 80648. First we will calculate the prime factors of 80635 and 80648.

Prime Factorization of 80635

Prime Factorization of 80648

Now multiplying the highest exponent prime factors to calculate the LCM of 80635 and 80648.

LCM(80635,80648) = 5¹ × 16127¹ × 2³ × 17¹ × 593¹
LCM(80635,80648) = 6503051480