What is the Least Common Multiple of 67596 and 67607?

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 67607 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 67607, than apply into the LCM equation.

GCF(67596,67607) = 1
LCM(67596,67607) = ( 67596 × 67607) / 1
LCM(67596,67607) = 4569962772 / 1
LCM(67596,67607) = 4569962772

Least Common Multiple (LCM) of 67596 and 67607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67596 and 67607. First we will calculate the prime factors of 67596 and 67607.

Prime Factorization of 67596

Prime Factorization of 67607

Now multiplying the highest exponent prime factors to calculate the LCM of 67596 and 67607.

LCM(67596,67607) = 2² × 3¹ × 43¹ × 131¹ × 67607¹
LCM(67596,67607) = 4569962772