What is the Least Common Multiple of 60780 and 60786?

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 60780 and 60786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60780 and 60786, than apply into the LCM equation.

GCF(60780,60786) = 6
LCM(60780,60786) = ( 60780 × 60786) / 6
LCM(60780,60786) = 3694573080 / 6
LCM(60780,60786) = 615762180

Least Common Multiple (LCM) of 60780 and 60786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60780 and 60786. First we will calculate the prime factors of 60780 and 60786.

Prime Factorization of 60780

Prime Factorization of 60786

Now multiplying the highest exponent prime factors to calculate the LCM of 60780 and 60786.

LCM(60780,60786) = 2² × 3² × 5¹ × 1013¹ × 11¹ × 307¹
LCM(60780,60786) = 615762180