What is the Least Common Multiple of 68604 and 68619?

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 68604 and 68619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68604 and 68619, than apply into the LCM equation.

GCF(68604,68619) = 3
LCM(68604,68619) = ( 68604 × 68619) / 3
LCM(68604,68619) = 4707537876 / 3
LCM(68604,68619) = 1569179292

Least Common Multiple (LCM) of 68604 and 68619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68604 and 68619. First we will calculate the prime factors of 68604 and 68619.

Prime Factorization of 68604

Prime Factorization of 68619

Now multiplying the highest exponent prime factors to calculate the LCM of 68604 and 68619.

LCM(68604,68619) = 2² × 3¹ × 5717¹ × 89¹ × 257¹
LCM(68604,68619) = 1569179292