What is the Least Common Multiple of 70460 and 70465?

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 70460 and 70465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70460 and 70465, than apply into the LCM equation.

GCF(70460,70465) = 5
LCM(70460,70465) = ( 70460 × 70465) / 5
LCM(70460,70465) = 4964963900 / 5
LCM(70460,70465) = 992992780

Least Common Multiple (LCM) of 70460 and 70465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70460 and 70465. First we will calculate the prime factors of 70460 and 70465.

Prime Factorization of 70460

Prime Factorization of 70465

Now multiplying the highest exponent prime factors to calculate the LCM of 70460 and 70465.

LCM(70460,70465) = 2² × 5¹ × 13¹ × 271¹ × 17¹ × 829¹
LCM(70460,70465) = 992992780