What is the Least Common Multiple of 70265 and 70285?

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 70265 and 70285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70265 and 70285, than apply into the LCM equation.

GCF(70265,70285) = 5
LCM(70265,70285) = ( 70265 × 70285) / 5
LCM(70265,70285) = 4938575525 / 5
LCM(70265,70285) = 987715105

Least Common Multiple (LCM) of 70265 and 70285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70265 and 70285. First we will calculate the prime factors of 70265 and 70285.

Prime Factorization of 70265

Prime Factorization of 70285

Now multiplying the highest exponent prime factors to calculate the LCM of 70265 and 70285.

LCM(70265,70285) = 5¹ × 13¹ × 23¹ × 47¹ × 14057¹
LCM(70265,70285) = 987715105