What is the Least Common Multiple of 82446 and 82461?

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 82446 and 82461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82446 and 82461, than apply into the LCM equation.

GCF(82446,82461) = 3
LCM(82446,82461) = ( 82446 × 82461) / 3
LCM(82446,82461) = 6798579606 / 3
LCM(82446,82461) = 2266193202

Least Common Multiple (LCM) of 82446 and 82461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82446 and 82461. First we will calculate the prime factors of 82446 and 82461.

Prime Factorization of 82446

Prime Factorization of 82461

Now multiplying the highest exponent prime factors to calculate the LCM of 82446 and 82461.

LCM(82446,82461) = 2¹ × 3¹ × 7¹ × 13¹ × 151¹ × 27487¹
LCM(82446,82461) = 2266193202