What is the Least Common Multiple of 81460 and 81469?

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 81460 and 81469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81460 and 81469, than apply into the LCM equation.

GCF(81460,81469) = 1
LCM(81460,81469) = ( 81460 × 81469) / 1
LCM(81460,81469) = 6636464740 / 1
LCM(81460,81469) = 6636464740

Least Common Multiple (LCM) of 81460 and 81469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81460 and 81469. First we will calculate the prime factors of 81460 and 81469.

Prime Factorization of 81460

Prime Factorization of 81469

Now multiplying the highest exponent prime factors to calculate the LCM of 81460 and 81469.

LCM(81460,81469) = 2² × 5¹ × 4073¹ × 257¹ × 317¹
LCM(81460,81469) = 6636464740