What is the Least Common Multiple of 85358 and 85362?

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 85358 and 85362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85358 and 85362, than apply into the LCM equation.

GCF(85358,85362) = 2
LCM(85358,85362) = ( 85358 × 85362) / 2
LCM(85358,85362) = 7286329596 / 2
LCM(85358,85362) = 3643164798

Least Common Multiple (LCM) of 85358 and 85362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85358 and 85362. First we will calculate the prime factors of 85358 and 85362.

Prime Factorization of 85358

Prime Factorization of 85362

Now multiplying the highest exponent prime factors to calculate the LCM of 85358 and 85362.

LCM(85358,85362) = 2¹ × 7² × 13¹ × 67¹ × 3¹ × 41¹ × 347¹
LCM(85358,85362) = 3643164798