What is the Least Common Multiple of 85370 and 85384?

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 85370 and 85384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85370 and 85384, than apply into the LCM equation.

GCF(85370,85384) = 2
LCM(85370,85384) = ( 85370 × 85384) / 2
LCM(85370,85384) = 7289232080 / 2
LCM(85370,85384) = 3644616040

Least Common Multiple (LCM) of 85370 and 85384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85370 and 85384. First we will calculate the prime factors of 85370 and 85384.

Prime Factorization of 85370

Prime Factorization of 85384

Now multiplying the highest exponent prime factors to calculate the LCM of 85370 and 85384.

LCM(85370,85384) = 2³ × 5¹ × 8537¹ × 13¹ × 821¹
LCM(85370,85384) = 3644616040