What is the Least Common Multiple of 60795 and 60800?

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 60795 and 60800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60795 and 60800, than apply into the LCM equation.

GCF(60795,60800) = 5
LCM(60795,60800) = ( 60795 × 60800) / 5
LCM(60795,60800) = 3696336000 / 5
LCM(60795,60800) = 739267200

Least Common Multiple (LCM) of 60795 and 60800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60795 and 60800. First we will calculate the prime factors of 60795 and 60800.

Prime Factorization of 60795

Prime Factorization of 60800

Now multiplying the highest exponent prime factors to calculate the LCM of 60795 and 60800.

LCM(60795,60800) = 3² × 5² × 7¹ × 193¹ × 2⁷ × 19¹
LCM(60795,60800) = 739267200