What is the Least Common Multiple of 86955 and 86964?

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 86955 and 86964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86955 and 86964, than apply into the LCM equation.

GCF(86955,86964) = 3
LCM(86955,86964) = ( 86955 × 86964) / 3
LCM(86955,86964) = 7561954620 / 3
LCM(86955,86964) = 2520651540

Least Common Multiple (LCM) of 86955 and 86964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86955 and 86964. First we will calculate the prime factors of 86955 and 86964.

Prime Factorization of 86955

Prime Factorization of 86964

Now multiplying the highest exponent prime factors to calculate the LCM of 86955 and 86964.

LCM(86955,86964) = 3¹ × 5¹ × 11¹ × 17¹ × 31¹ × 2² × 7247¹
LCM(86955,86964) = 2520651540