GCF and LCM Calculator Logo

What is the Least Common Multiple of 94202 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 (LCM) of 94202 and 94209 is 8874676218.

LCM(94202,94209) = 8874676218

LCM Calculator and
and

Least Common Multiple of 94202 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 94202 and 94209, than apply into the LCM equation.

GCF(94202,94209) = 1
LCM(94202,94209) = ( 94202 × 94209) / 1
LCM(94202,94209) = 8874676218 / 1
LCM(94202,94209) = 8874676218

Least Common Multiple (LCM) of 94202 and 94209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94202 and 94209. First we will calculate the prime factors of 94202 and 94209.

Prime Factorization of 94202

Prime factors of 94202 are 2, 19, 37, 67. Prime factorization of 94202 in exponential form is:

94202 = 21 × 191 × 371 × 671

Prime Factorization of 94209

Prime factors of 94209 are 3, 31, 1013. Prime factorization of 94209 in exponential form is:

94209 = 31 × 311 × 10131

Now multiplying the highest exponent prime factors to calculate the LCM of 94202 and 94209.

LCM(94202,94209) = 21 × 191 × 371 × 671 × 31 × 311 × 10131
LCM(94202,94209) = 8874676218