What is the Least Common Multiple of 85355 and 85366?

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 85355 and 85366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85355 and 85366, than apply into the LCM equation.

GCF(85355,85366) = 1
LCM(85355,85366) = ( 85355 × 85366) / 1
LCM(85355,85366) = 7286414930 / 1
LCM(85355,85366) = 7286414930

Least Common Multiple (LCM) of 85355 and 85366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85355 and 85366. First we will calculate the prime factors of 85355 and 85366.

Prime Factorization of 85355

Prime Factorization of 85366

Now multiplying the highest exponent prime factors to calculate the LCM of 85355 and 85366.

LCM(85355,85366) = 5¹ × 43¹ × 397¹ × 2¹ × 42683¹
LCM(85355,85366) = 7286414930