What is the Least Common Multiple of 86955 and 86970?

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 86970 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 86970, than apply into the LCM equation.

GCF(86955,86970) = 15
LCM(86955,86970) = ( 86955 × 86970) / 15
LCM(86955,86970) = 7562476350 / 15
LCM(86955,86970) = 504165090

Least Common Multiple (LCM) of 86955 and 86970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86955 and 86970. First we will calculate the prime factors of 86955 and 86970.

Prime Factorization of 86955

Prime Factorization of 86970

Now multiplying the highest exponent prime factors to calculate the LCM of 86955 and 86970.

LCM(86955,86970) = 3¹ × 5¹ × 11¹ × 17¹ × 31¹ × 2¹ × 13¹ × 223¹
LCM(86955,86970) = 504165090