What is the Least Common Multiple of 59774 and 59793?

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 59774 and 59793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59774 and 59793, than apply into the LCM equation.

GCF(59774,59793) = 19
LCM(59774,59793) = ( 59774 × 59793) / 19
LCM(59774,59793) = 3574066782 / 19
LCM(59774,59793) = 188108778

Least Common Multiple (LCM) of 59774 and 59793 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59774 and 59793. First we will calculate the prime factors of 59774 and 59793.

Prime Factorization of 59774

Prime Factorization of 59793

Now multiplying the highest exponent prime factors to calculate the LCM of 59774 and 59793.

LCM(59774,59793) = 2¹ × 11² × 13¹ × 19¹ × 3¹ × 1049¹
LCM(59774,59793) = 188108778