What is the Least Common Multiple of 85240 and 85246?

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 85240 and 85246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85240 and 85246, than apply into the LCM equation.

GCF(85240,85246) = 2
LCM(85240,85246) = ( 85240 × 85246) / 2
LCM(85240,85246) = 7266369040 / 2
LCM(85240,85246) = 3633184520

Least Common Multiple (LCM) of 85240 and 85246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85240 and 85246. First we will calculate the prime factors of 85240 and 85246.

Prime Factorization of 85240

Prime Factorization of 85246

Now multiplying the highest exponent prime factors to calculate the LCM of 85240 and 85246.

LCM(85240,85246) = 2³ × 5¹ × 2131¹ × 7¹ × 6089¹
LCM(85240,85246) = 3633184520