What is the Least Common Multiple of 85355 and 85374?

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 85374 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 85374, than apply into the LCM equation.

GCF(85355,85374) = 1
LCM(85355,85374) = ( 85355 × 85374) / 1
LCM(85355,85374) = 7287097770 / 1
LCM(85355,85374) = 7287097770

Least Common Multiple (LCM) of 85355 and 85374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85355 and 85374. First we will calculate the prime factors of 85355 and 85374.

Prime Factorization of 85355

Prime Factorization of 85374

Now multiplying the highest exponent prime factors to calculate the LCM of 85355 and 85374.

LCM(85355,85374) = 5¹ × 43¹ × 397¹ × 2¹ × 3⁴ × 17¹ × 31¹
LCM(85355,85374) = 7287097770