What is the Least Common Multiple of 34884 and 34890?

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 34884 and 34890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34884 and 34890, than apply into the LCM equation.

GCF(34884,34890) = 6
LCM(34884,34890) = ( 34884 × 34890) / 6
LCM(34884,34890) = 1217102760 / 6
LCM(34884,34890) = 202850460

Least Common Multiple (LCM) of 34884 and 34890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34884 and 34890. First we will calculate the prime factors of 34884 and 34890.

Prime Factorization of 34884

Prime Factorization of 34890

Now multiplying the highest exponent prime factors to calculate the LCM of 34884 and 34890.

LCM(34884,34890) = 2² × 3³ × 17¹ × 19¹ × 5¹ × 1163¹
LCM(34884,34890) = 202850460