What is the Least Common Multiple of 70194 and 70200?

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 70194 and 70200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70194 and 70200, than apply into the LCM equation.

GCF(70194,70200) = 6
LCM(70194,70200) = ( 70194 × 70200) / 6
LCM(70194,70200) = 4927618800 / 6
LCM(70194,70200) = 821269800

Least Common Multiple (LCM) of 70194 and 70200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70194 and 70200. First we will calculate the prime factors of 70194 and 70200.

Prime Factorization of 70194

Prime Factorization of 70200

Now multiplying the highest exponent prime factors to calculate the LCM of 70194 and 70200.

LCM(70194,70200) = 2³ × 3³ × 11699¹ × 5² × 13¹
LCM(70194,70200) = 821269800