What is the Least Common Multiple of 81454 and 81470?

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 81454 and 81470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81454 and 81470, than apply into the LCM equation.

GCF(81454,81470) = 2
LCM(81454,81470) = ( 81454 × 81470) / 2
LCM(81454,81470) = 6636057380 / 2
LCM(81454,81470) = 3318028690

Least Common Multiple (LCM) of 81454 and 81470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81454 and 81470. First we will calculate the prime factors of 81454 and 81470.

Prime Factorization of 81454

Prime Factorization of 81470

Now multiplying the highest exponent prime factors to calculate the LCM of 81454 and 81470.

LCM(81454,81470) = 2¹ × 139¹ × 293¹ × 5¹ × 8147¹
LCM(81454,81470) = 3318028690