What is the Least Common Multiple of 70005 and 70015?

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 70005 and 70015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70005 and 70015, than apply into the LCM equation.

GCF(70005,70015) = 5
LCM(70005,70015) = ( 70005 × 70015) / 5
LCM(70005,70015) = 4901400075 / 5
LCM(70005,70015) = 980280015

Least Common Multiple (LCM) of 70005 and 70015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70005 and 70015. First we will calculate the prime factors of 70005 and 70015.

Prime Factorization of 70005

Prime Factorization of 70015

Now multiplying the highest exponent prime factors to calculate the LCM of 70005 and 70015.

LCM(70005,70015) = 3¹ × 5¹ × 13¹ × 359¹ × 11¹ × 19¹ × 67¹
LCM(70005,70015) = 980280015