What is the Least Common Multiple of 60809 and 60816?

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 60809 and 60816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60809 and 60816, than apply into the LCM equation.

GCF(60809,60816) = 7
LCM(60809,60816) = ( 60809 × 60816) / 7
LCM(60809,60816) = 3698160144 / 7
LCM(60809,60816) = 528308592

Least Common Multiple (LCM) of 60809 and 60816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60809 and 60816. First we will calculate the prime factors of 60809 and 60816.

Prime Factorization of 60809

Prime Factorization of 60816

Now multiplying the highest exponent prime factors to calculate the LCM of 60809 and 60816.

LCM(60809,60816) = 7² × 17¹ × 73¹ × 2⁴ × 3¹ × 181¹
LCM(60809,60816) = 528308592