What is the Least Common Multiple of 86445 and 86461?

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 86445 and 86461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86445 and 86461, than apply into the LCM equation.

GCF(86445,86461) = 1
LCM(86445,86461) = ( 86445 × 86461) / 1
LCM(86445,86461) = 7474121145 / 1
LCM(86445,86461) = 7474121145

Least Common Multiple (LCM) of 86445 and 86461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86445 and 86461. First we will calculate the prime factors of 86445 and 86461.

Prime Factorization of 86445

Prime Factorization of 86461

Now multiplying the highest exponent prime factors to calculate the LCM of 86445 and 86461.

LCM(86445,86461) = 3² × 5¹ × 17¹ × 113¹ × 86461¹
LCM(86445,86461) = 7474121145