What is the Least Common Multiple of 67598 and 67616?

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 67598 and 67616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67598 and 67616, than apply into the LCM equation.

GCF(67598,67616) = 2
LCM(67598,67616) = ( 67598 × 67616) / 2
LCM(67598,67616) = 4570706368 / 2
LCM(67598,67616) = 2285353184

Least Common Multiple (LCM) of 67598 and 67616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67598 and 67616. First we will calculate the prime factors of 67598 and 67616.

Prime Factorization of 67598

Prime Factorization of 67616

Now multiplying the highest exponent prime factors to calculate the LCM of 67598 and 67616.

LCM(67598,67616) = 2⁵ × 73¹ × 463¹ × 2113¹
LCM(67598,67616) = 2285353184