What is the Least Common Multiple of 81400 and 81408?

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 81400 and 81408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81400 and 81408, than apply into the LCM equation.

GCF(81400,81408) = 8
LCM(81400,81408) = ( 81400 × 81408) / 8
LCM(81400,81408) = 6626611200 / 8
LCM(81400,81408) = 828326400

Least Common Multiple (LCM) of 81400 and 81408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81400 and 81408. First we will calculate the prime factors of 81400 and 81408.

Prime Factorization of 81400

Prime Factorization of 81408

Now multiplying the highest exponent prime factors to calculate the LCM of 81400 and 81408.

LCM(81400,81408) = 2⁹ × 5² × 11¹ × 37¹ × 3¹ × 53¹
LCM(81400,81408) = 828326400