What is the Least Common Multiple of 6144 and 6160?

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 6144 and 6160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6144 and 6160, than apply into the LCM equation.

GCF(6144,6160) = 16
LCM(6144,6160) = ( 6144 × 6160) / 16
LCM(6144,6160) = 37847040 / 16
LCM(6144,6160) = 2365440

Least Common Multiple (LCM) of 6144 and 6160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6144 and 6160. First we will calculate the prime factors of 6144 and 6160.

Prime Factorization of 6144

Prime Factorization of 6160

Now multiplying the highest exponent prime factors to calculate the LCM of 6144 and 6160.

LCM(6144,6160) = 2¹¹ × 3¹ × 5¹ × 7¹ × 11¹
LCM(6144,6160) = 2365440