What is the Least Common Multiple of 70176 and 70193?

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 70176 and 70193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70176 and 70193, than apply into the LCM equation.

GCF(70176,70193) = 17
LCM(70176,70193) = ( 70176 × 70193) / 17
LCM(70176,70193) = 4925863968 / 17
LCM(70176,70193) = 289756704

Least Common Multiple (LCM) of 70176 and 70193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70176 and 70193. First we will calculate the prime factors of 70176 and 70193.

Prime Factorization of 70176

Prime Factorization of 70193

Now multiplying the highest exponent prime factors to calculate the LCM of 70176 and 70193.

LCM(70176,70193) = 2⁵ × 3¹ × 17¹ × 43¹ × 4129¹
LCM(70176,70193) = 289756704