What is the Least Common Multiple of 59792 and 59809?

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 59792 and 59809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59792 and 59809, than apply into the LCM equation.

GCF(59792,59809) = 1
LCM(59792,59809) = ( 59792 × 59809) / 1
LCM(59792,59809) = 3576099728 / 1
LCM(59792,59809) = 3576099728

Least Common Multiple (LCM) of 59792 and 59809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59792 and 59809. First we will calculate the prime factors of 59792 and 59809.

Prime Factorization of 59792

Prime Factorization of 59809

Now multiplying the highest exponent prime factors to calculate the LCM of 59792 and 59809.

LCM(59792,59809) = 2⁴ × 37¹ × 101¹ × 59809¹
LCM(59792,59809) = 3576099728