What is the Least Common Multiple of 60758 and 60775?

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 60758 and 60775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60758 and 60775, than apply into the LCM equation.

GCF(60758,60775) = 17
LCM(60758,60775) = ( 60758 × 60775) / 17
LCM(60758,60775) = 3692567450 / 17
LCM(60758,60775) = 217209850

Least Common Multiple (LCM) of 60758 and 60775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60758 and 60775. First we will calculate the prime factors of 60758 and 60775.

Prime Factorization of 60758

Prime Factorization of 60775

Now multiplying the highest exponent prime factors to calculate the LCM of 60758 and 60775.

LCM(60758,60775) = 2¹ × 17¹ × 1787¹ × 5² × 11¹ × 13¹
LCM(60758,60775) = 217209850