What is the Least Common Multiple of 85046 and 85053?

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 85046 and 85053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85046 and 85053, than apply into the LCM equation.

GCF(85046,85053) = 1
LCM(85046,85053) = ( 85046 × 85053) / 1
LCM(85046,85053) = 7233417438 / 1
LCM(85046,85053) = 7233417438

Least Common Multiple (LCM) of 85046 and 85053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85046 and 85053. First we will calculate the prime factors of 85046 and 85053.

Prime Factorization of 85046

Prime Factorization of 85053

Now multiplying the highest exponent prime factors to calculate the LCM of 85046 and 85053.

LCM(85046,85053) = 2¹ × 13¹ × 3271¹ × 3¹ × 28351¹
LCM(85046,85053) = 7233417438