What is the Least Common Multiple of 6105 and 6112?

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 6105 and 6112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6105 and 6112, than apply into the LCM equation.

GCF(6105,6112) = 1
LCM(6105,6112) = ( 6105 × 6112) / 1
LCM(6105,6112) = 37313760 / 1
LCM(6105,6112) = 37313760

Least Common Multiple (LCM) of 6105 and 6112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6105 and 6112. First we will calculate the prime factors of 6105 and 6112.

Prime Factorization of 6105

Prime Factorization of 6112

Now multiplying the highest exponent prime factors to calculate the LCM of 6105 and 6112.

LCM(6105,6112) = 3¹ × 5¹ × 11¹ × 37¹ × 2⁵ × 191¹
LCM(6105,6112) = 37313760