What is the Least Common Multiple of 85215 and 85234?

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 85215 and 85234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85215 and 85234, than apply into the LCM equation.

GCF(85215,85234) = 19
LCM(85215,85234) = ( 85215 × 85234) / 19
LCM(85215,85234) = 7263215310 / 19
LCM(85215,85234) = 382274490

Least Common Multiple (LCM) of 85215 and 85234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85215 and 85234. First we will calculate the prime factors of 85215 and 85234.

Prime Factorization of 85215

Prime Factorization of 85234

Now multiplying the highest exponent prime factors to calculate the LCM of 85215 and 85234.

LCM(85215,85234) = 3¹ × 5¹ × 13¹ × 19¹ × 23¹ × 2¹ × 2243¹
LCM(85215,85234) = 382274490