What is the Least Common Multiple of 70180 and 70194?

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 70180 and 70194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70180 and 70194, than apply into the LCM equation.

GCF(70180,70194) = 2
LCM(70180,70194) = ( 70180 × 70194) / 2
LCM(70180,70194) = 4926214920 / 2
LCM(70180,70194) = 2463107460

Least Common Multiple (LCM) of 70180 and 70194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70180 and 70194. First we will calculate the prime factors of 70180 and 70194.

Prime Factorization of 70180

Prime Factorization of 70194

Now multiplying the highest exponent prime factors to calculate the LCM of 70180 and 70194.

LCM(70180,70194) = 2² × 5¹ × 11² × 29¹ × 3¹ × 11699¹
LCM(70180,70194) = 2463107460