What is the Least Common Multiple of 86949 and 86961?

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 86949 and 86961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86949 and 86961, than apply into the LCM equation.

GCF(86949,86961) = 3
LCM(86949,86961) = ( 86949 × 86961) / 3
LCM(86949,86961) = 7561171989 / 3
LCM(86949,86961) = 2520390663

Least Common Multiple (LCM) of 86949 and 86961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86949 and 86961. First we will calculate the prime factors of 86949 and 86961.

Prime Factorization of 86949

Prime Factorization of 86961

Now multiplying the highest exponent prime factors to calculate the LCM of 86949 and 86961.

LCM(86949,86961) = 3² × 9661¹ × 7¹ × 41¹ × 101¹
LCM(86949,86961) = 2520390663