What is the Least Common Multiple of 60741 and 60758?

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 60741 and 60758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60741 and 60758, than apply into the LCM equation.

GCF(60741,60758) = 17
LCM(60741,60758) = ( 60741 × 60758) / 17
LCM(60741,60758) = 3690501678 / 17
LCM(60741,60758) = 217088334

Least Common Multiple (LCM) of 60741 and 60758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60741 and 60758. First we will calculate the prime factors of 60741 and 60758.

Prime Factorization of 60741

Prime Factorization of 60758

Now multiplying the highest exponent prime factors to calculate the LCM of 60741 and 60758.

LCM(60741,60758) = 3² × 17¹ × 397¹ × 2¹ × 1787¹
LCM(60741,60758) = 217088334