What is the Least Common Multiple of 85470 and 85482?

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 85470 and 85482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85470 and 85482, than apply into the LCM equation.

GCF(85470,85482) = 6
LCM(85470,85482) = ( 85470 × 85482) / 6
LCM(85470,85482) = 7306146540 / 6
LCM(85470,85482) = 1217691090

Least Common Multiple (LCM) of 85470 and 85482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85470 and 85482. First we will calculate the prime factors of 85470 and 85482.

Prime Factorization of 85470

Prime Factorization of 85482

Now multiplying the highest exponent prime factors to calculate the LCM of 85470 and 85482.

LCM(85470,85482) = 2¹ × 3³ × 5¹ × 7¹ × 11¹ × 37¹ × 1583¹
LCM(85470,85482) = 1217691090