What is the Least Common Multiple of 76202 and 76209?

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 76202 and 76209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76202 and 76209, than apply into the LCM equation.

GCF(76202,76209) = 7
LCM(76202,76209) = ( 76202 × 76209) / 7
LCM(76202,76209) = 5807278218 / 7
LCM(76202,76209) = 829611174

Least Common Multiple (LCM) of 76202 and 76209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76202 and 76209. First we will calculate the prime factors of 76202 and 76209.

Prime Factorization of 76202

Prime Factorization of 76209

Now multiplying the highest exponent prime factors to calculate the LCM of 76202 and 76209.

LCM(76202,76209) = 2¹ × 7¹ × 5443¹ × 3¹ × 19¹ × 191¹
LCM(76202,76209) = 829611174