What is the Least Common Multiple of 60792 and 60809?

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 60792 and 60809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60792 and 60809, than apply into the LCM equation.

GCF(60792,60809) = 17
LCM(60792,60809) = ( 60792 × 60809) / 17
LCM(60792,60809) = 3696700728 / 17
LCM(60792,60809) = 217452984

Least Common Multiple (LCM) of 60792 and 60809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60792 and 60809. First we will calculate the prime factors of 60792 and 60809.

Prime Factorization of 60792

Prime Factorization of 60809

Now multiplying the highest exponent prime factors to calculate the LCM of 60792 and 60809.

LCM(60792,60809) = 2³ × 3¹ × 17¹ × 149¹ × 7² × 73¹
LCM(60792,60809) = 217452984