What is the Least Common Multiple of 86961 and 86977?

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 86961 and 86977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86961 and 86977, than apply into the LCM equation.

GCF(86961,86977) = 1
LCM(86961,86977) = ( 86961 × 86977) / 1
LCM(86961,86977) = 7563606897 / 1
LCM(86961,86977) = 7563606897

Least Common Multiple (LCM) of 86961 and 86977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86961 and 86977. First we will calculate the prime factors of 86961 and 86977.

Prime Factorization of 86961

Prime Factorization of 86977

Now multiplying the highest exponent prime factors to calculate the LCM of 86961 and 86977.

LCM(86961,86977) = 3¹ × 7¹ × 41¹ × 101¹ × 11¹ × 7907¹
LCM(86961,86977) = 7563606897