What is the Least Common Multiple of 85374 and 85390?

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 85374 and 85390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85374 and 85390, than apply into the LCM equation.

GCF(85374,85390) = 2
LCM(85374,85390) = ( 85374 × 85390) / 2
LCM(85374,85390) = 7290085860 / 2
LCM(85374,85390) = 3645042930

Least Common Multiple (LCM) of 85374 and 85390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85374 and 85390. First we will calculate the prime factors of 85374 and 85390.

Prime Factorization of 85374

Prime Factorization of 85390

Now multiplying the highest exponent prime factors to calculate the LCM of 85374 and 85390.

LCM(85374,85390) = 2¹ × 3⁴ × 17¹ × 31¹ × 5¹ × 8539¹
LCM(85374,85390) = 3645042930