What is the Least Common Multiple of 67596 and 67609?

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 67596 and 67609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67596 and 67609, than apply into the LCM equation.

GCF(67596,67609) = 1
LCM(67596,67609) = ( 67596 × 67609) / 1
LCM(67596,67609) = 4570097964 / 1
LCM(67596,67609) = 4570097964

Least Common Multiple (LCM) of 67596 and 67609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67596 and 67609. First we will calculate the prime factors of 67596 and 67609.

Prime Factorization of 67596

Prime Factorization of 67609

Now multiplying the highest exponent prime factors to calculate the LCM of 67596 and 67609.

LCM(67596,67609) = 2² × 3¹ × 43¹ × 131¹ × 17¹ × 41¹ × 97¹
LCM(67596,67609) = 4570097964