What is the Least Common Multiple of 85449 and 85455?

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 85449 and 85455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85449 and 85455, than apply into the LCM equation.

GCF(85449,85455) = 3
LCM(85449,85455) = ( 85449 × 85455) / 3
LCM(85449,85455) = 7302044295 / 3
LCM(85449,85455) = 2434014765

Least Common Multiple (LCM) of 85449 and 85455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85449 and 85455. First we will calculate the prime factors of 85449 and 85455.

Prime Factorization of 85449

Prime Factorization of 85455

Now multiplying the highest exponent prime factors to calculate the LCM of 85449 and 85455.

LCM(85449,85455) = 3⁴ × 7¹ × 13¹ × 313¹ × 5¹ × 211¹
LCM(85449,85455) = 2434014765