What is the Least Common Multiple of 70284 and 70292?

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 70284 and 70292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70284 and 70292, than apply into the LCM equation.

GCF(70284,70292) = 4
LCM(70284,70292) = ( 70284 × 70292) / 4
LCM(70284,70292) = 4940402928 / 4
LCM(70284,70292) = 1235100732

Least Common Multiple (LCM) of 70284 and 70292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70284 and 70292. First we will calculate the prime factors of 70284 and 70292.

Prime Factorization of 70284

Prime Factorization of 70292

Now multiplying the highest exponent prime factors to calculate the LCM of 70284 and 70292.

LCM(70284,70292) = 2² × 3¹ × 5857¹ × 17573¹
LCM(70284,70292) = 1235100732