What is the Least Common Multiple of 60544 and 60556?

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 60544 and 60556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60544 and 60556, than apply into the LCM equation.

GCF(60544,60556) = 4
LCM(60544,60556) = ( 60544 × 60556) / 4
LCM(60544,60556) = 3666302464 / 4
LCM(60544,60556) = 916575616

Least Common Multiple (LCM) of 60544 and 60556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60544 and 60556. First we will calculate the prime factors of 60544 and 60556.

Prime Factorization of 60544

Prime Factorization of 60556

Now multiplying the highest exponent prime factors to calculate the LCM of 60544 and 60556.

LCM(60544,60556) = 2⁷ × 11¹ × 43¹ × 15139¹
LCM(60544,60556) = 916575616