What is the Least Common Multiple of 86604 and 86620?

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 86604 and 86620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86604 and 86620, than apply into the LCM equation.

GCF(86604,86620) = 4
LCM(86604,86620) = ( 86604 × 86620) / 4
LCM(86604,86620) = 7501638480 / 4
LCM(86604,86620) = 1875409620

Least Common Multiple (LCM) of 86604 and 86620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86604 and 86620. First we will calculate the prime factors of 86604 and 86620.

Prime Factorization of 86604

Prime Factorization of 86620

Now multiplying the highest exponent prime factors to calculate the LCM of 86604 and 86620.

LCM(86604,86620) = 2² × 3¹ × 7¹ × 1031¹ × 5¹ × 61¹ × 71¹
LCM(86604,86620) = 1875409620