What is the Least Common Multiple of 82435 and 82446?

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 82435 and 82446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82435 and 82446, than apply into the LCM equation.

GCF(82435,82446) = 1
LCM(82435,82446) = ( 82435 × 82446) / 1
LCM(82435,82446) = 6796436010 / 1
LCM(82435,82446) = 6796436010

Least Common Multiple (LCM) of 82435 and 82446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82435 and 82446. First we will calculate the prime factors of 82435 and 82446.

Prime Factorization of 82435

Prime Factorization of 82446

Now multiplying the highest exponent prime factors to calculate the LCM of 82435 and 82446.

LCM(82435,82446) = 5¹ × 16487¹ × 2¹ × 3¹ × 7¹ × 13¹ × 151¹
LCM(82435,82446) = 6796436010