What is the Least Common Multiple of 60774 and 60789?

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 60774 and 60789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60774 and 60789, than apply into the LCM equation.

GCF(60774,60789) = 3
LCM(60774,60789) = ( 60774 × 60789) / 3
LCM(60774,60789) = 3694390686 / 3
LCM(60774,60789) = 1231463562

Least Common Multiple (LCM) of 60774 and 60789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60774 and 60789. First we will calculate the prime factors of 60774 and 60789.

Prime Factorization of 60774

Prime Factorization of 60789

Now multiplying the highest exponent prime factors to calculate the LCM of 60774 and 60789.

LCM(60774,60789) = 2¹ × 3¹ × 7¹ × 1447¹ × 23¹ × 881¹
LCM(60774,60789) = 1231463562