What is the Least Common Multiple of 85390 and 85408?

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 85390 and 85408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85390 and 85408, than apply into the LCM equation.

GCF(85390,85408) = 2
LCM(85390,85408) = ( 85390 × 85408) / 2
LCM(85390,85408) = 7292989120 / 2
LCM(85390,85408) = 3646494560

Least Common Multiple (LCM) of 85390 and 85408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85390 and 85408. First we will calculate the prime factors of 85390 and 85408.

Prime Factorization of 85390

Prime Factorization of 85408

Now multiplying the highest exponent prime factors to calculate the LCM of 85390 and 85408.

LCM(85390,85408) = 2⁵ × 5¹ × 8539¹ × 17¹ × 157¹
LCM(85390,85408) = 3646494560