What is the Least Common Multiple of 18965 and 18970?

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 18965 and 18970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18965 and 18970, than apply into the LCM equation.

GCF(18965,18970) = 5
LCM(18965,18970) = ( 18965 × 18970) / 5
LCM(18965,18970) = 359766050 / 5
LCM(18965,18970) = 71953210

Least Common Multiple (LCM) of 18965 and 18970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18965 and 18970. First we will calculate the prime factors of 18965 and 18970.

Prime Factorization of 18965

Prime Factorization of 18970

Now multiplying the highest exponent prime factors to calculate the LCM of 18965 and 18970.

LCM(18965,18970) = 5¹ × 3793¹ × 2¹ × 7¹ × 271¹
LCM(18965,18970) = 71953210