What is the Least Common Multiple of 85374 and 85380?

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 85380 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 85380, than apply into the LCM equation.

GCF(85374,85380) = 6
LCM(85374,85380) = ( 85374 × 85380) / 6
LCM(85374,85380) = 7289232120 / 6
LCM(85374,85380) = 1214872020

Least Common Multiple (LCM) of 85374 and 85380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85374 and 85380. First we will calculate the prime factors of 85374 and 85380.

Prime Factorization of 85374

Prime Factorization of 85380

Now multiplying the highest exponent prime factors to calculate the LCM of 85374 and 85380.

LCM(85374,85380) = 2² × 3⁴ × 17¹ × 31¹ × 5¹ × 1423¹
LCM(85374,85380) = 1214872020