What is the Least Common Multiple of 94192 and 94209?

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 94192 and 94209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94192 and 94209, than apply into the LCM equation.

GCF(94192,94209) = 1
LCM(94192,94209) = ( 94192 × 94209) / 1
LCM(94192,94209) = 8873734128 / 1
LCM(94192,94209) = 8873734128

Least Common Multiple (LCM) of 94192 and 94209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94192 and 94209. First we will calculate the prime factors of 94192 and 94209.

Prime Factorization of 94192

Prime Factorization of 94209

Now multiplying the highest exponent prime factors to calculate the LCM of 94192 and 94209.

LCM(94192,94209) = 2⁴ × 7¹ × 29² × 3¹ × 31¹ × 1013¹
LCM(94192,94209) = 8873734128