What is the Least Common Multiple of 68964 and 68970?

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 68964 and 68970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68964 and 68970, than apply into the LCM equation.

GCF(68964,68970) = 6
LCM(68964,68970) = ( 68964 × 68970) / 6
LCM(68964,68970) = 4756447080 / 6
LCM(68964,68970) = 792741180

Least Common Multiple (LCM) of 68964 and 68970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68964 and 68970. First we will calculate the prime factors of 68964 and 68970.

Prime Factorization of 68964

Prime Factorization of 68970

Now multiplying the highest exponent prime factors to calculate the LCM of 68964 and 68970.

LCM(68964,68970) = 2² × 3¹ × 7¹ × 821¹ × 5¹ × 11² × 19¹
LCM(68964,68970) = 792741180