What is the Least Common Multiple of 66780 and 66795?

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 66780 and 66795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66780 and 66795, than apply into the LCM equation.

GCF(66780,66795) = 15
LCM(66780,66795) = ( 66780 × 66795) / 15
LCM(66780,66795) = 4460570100 / 15
LCM(66780,66795) = 297371340

Least Common Multiple (LCM) of 66780 and 66795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66780 and 66795. First we will calculate the prime factors of 66780 and 66795.

Prime Factorization of 66780

Prime Factorization of 66795

Now multiplying the highest exponent prime factors to calculate the LCM of 66780 and 66795.

LCM(66780,66795) = 2² × 3² × 5¹ × 7¹ × 53¹ × 61¹ × 73¹
LCM(66780,66795) = 297371340