What is the Least Common Multiple of 30849 and 30864?

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 30849 and 30864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30849 and 30864, than apply into the LCM equation.

GCF(30849,30864) = 3
LCM(30849,30864) = ( 30849 × 30864) / 3
LCM(30849,30864) = 952123536 / 3
LCM(30849,30864) = 317374512

Least Common Multiple (LCM) of 30849 and 30864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30849 and 30864. First we will calculate the prime factors of 30849 and 30864.

Prime Factorization of 30849

Prime Factorization of 30864

Now multiplying the highest exponent prime factors to calculate the LCM of 30849 and 30864.

LCM(30849,30864) = 3¹ × 7¹ × 13¹ × 113¹ × 2⁴ × 643¹
LCM(30849,30864) = 317374512