What is the Least Common Multiple of 67965 and 67970?

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 67965 and 67970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67965 and 67970, than apply into the LCM equation.

GCF(67965,67970) = 5
LCM(67965,67970) = ( 67965 × 67970) / 5
LCM(67965,67970) = 4619581050 / 5
LCM(67965,67970) = 923916210

Least Common Multiple (LCM) of 67965 and 67970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67965 and 67970. First we will calculate the prime factors of 67965 and 67970.

Prime Factorization of 67965

Prime Factorization of 67970

Now multiplying the highest exponent prime factors to calculate the LCM of 67965 and 67970.

LCM(67965,67970) = 3¹ × 5¹ × 23¹ × 197¹ × 2¹ × 7¹ × 971¹
LCM(67965,67970) = 923916210