What is the Least Common Multiple of 70155 and 70173?

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 70155 and 70173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70155 and 70173, than apply into the LCM equation.

GCF(70155,70173) = 9
LCM(70155,70173) = ( 70155 × 70173) / 9
LCM(70155,70173) = 4922986815 / 9
LCM(70155,70173) = 546998535

Least Common Multiple (LCM) of 70155 and 70173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70155 and 70173. First we will calculate the prime factors of 70155 and 70173.

Prime Factorization of 70155

Prime Factorization of 70173

Now multiplying the highest exponent prime factors to calculate the LCM of 70155 and 70173.

LCM(70155,70173) = 3³ × 5¹ × 1559¹ × 23¹ × 113¹
LCM(70155,70173) = 546998535