What is the Least Common Multiple of 81470 and 81488?

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 81470 and 81488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81470 and 81488, than apply into the LCM equation.

GCF(81470,81488) = 2
LCM(81470,81488) = ( 81470 × 81488) / 2
LCM(81470,81488) = 6638827360 / 2
LCM(81470,81488) = 3319413680

Least Common Multiple (LCM) of 81470 and 81488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81470 and 81488. First we will calculate the prime factors of 81470 and 81488.

Prime Factorization of 81470

Prime Factorization of 81488

Now multiplying the highest exponent prime factors to calculate the LCM of 81470 and 81488.

LCM(81470,81488) = 2⁴ × 5¹ × 8147¹ × 11¹ × 463¹
LCM(81470,81488) = 3319413680