What is the Least Common Multiple of 82460 and 82468?

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 82460 and 82468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82460 and 82468, than apply into the LCM equation.

GCF(82460,82468) = 4
LCM(82460,82468) = ( 82460 × 82468) / 4
LCM(82460,82468) = 6800311280 / 4
LCM(82460,82468) = 1700077820

Least Common Multiple (LCM) of 82460 and 82468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82460 and 82468. First we will calculate the prime factors of 82460 and 82468.

Prime Factorization of 82460

Prime Factorization of 82468

Now multiplying the highest exponent prime factors to calculate the LCM of 82460 and 82468.

LCM(82460,82468) = 2² × 5¹ × 7¹ × 19¹ × 31¹ × 53¹ × 389¹
LCM(82460,82468) = 1700077820