What is the Least Common Multiple of 90195 and 90209?

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 90195 and 90209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90195 and 90209, than apply into the LCM equation.

GCF(90195,90209) = 7
LCM(90195,90209) = ( 90195 × 90209) / 7
LCM(90195,90209) = 8136400755 / 7
LCM(90195,90209) = 1162342965

Least Common Multiple (LCM) of 90195 and 90209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90195 and 90209. First we will calculate the prime factors of 90195 and 90209.

Prime Factorization of 90195

Prime Factorization of 90209

Now multiplying the highest exponent prime factors to calculate the LCM of 90195 and 90209.

LCM(90195,90209) = 3¹ × 5¹ × 7³ × 859¹ × 263¹
LCM(90195,90209) = 1162342965