What is the Least Common Multiple of 70188 and 70192?

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 70188 and 70192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70188 and 70192, than apply into the LCM equation.

GCF(70188,70192) = 4
LCM(70188,70192) = ( 70188 × 70192) / 4
LCM(70188,70192) = 4926636096 / 4
LCM(70188,70192) = 1231659024

Least Common Multiple (LCM) of 70188 and 70192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70188 and 70192. First we will calculate the prime factors of 70188 and 70192.

Prime Factorization of 70188

Prime Factorization of 70192

Now multiplying the highest exponent prime factors to calculate the LCM of 70188 and 70192.

LCM(70188,70192) = 2⁴ × 3¹ × 5849¹ × 41¹ × 107¹
LCM(70188,70192) = 1231659024