What is the Least Common Multiple of 61041 and 61056?

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 61041 and 61056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61041 and 61056, than apply into the LCM equation.

GCF(61041,61056) = 3
LCM(61041,61056) = ( 61041 × 61056) / 3
LCM(61041,61056) = 3726919296 / 3
LCM(61041,61056) = 1242306432

Least Common Multiple (LCM) of 61041 and 61056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61041 and 61056. First we will calculate the prime factors of 61041 and 61056.

Prime Factorization of 61041

Prime Factorization of 61056

Now multiplying the highest exponent prime factors to calculate the LCM of 61041 and 61056.

LCM(61041,61056) = 3² × 20347¹ × 2⁷ × 53¹
LCM(61041,61056) = 1242306432