What is the Least Common Multiple of 76197 and 76208?

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 76197 and 76208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76197 and 76208, than apply into the LCM equation.

GCF(76197,76208) = 11
LCM(76197,76208) = ( 76197 × 76208) / 11
LCM(76197,76208) = 5806820976 / 11
LCM(76197,76208) = 527892816

Least Common Multiple (LCM) of 76197 and 76208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76197 and 76208. First we will calculate the prime factors of 76197 and 76208.

Prime Factorization of 76197

Prime Factorization of 76208

Now multiplying the highest exponent prime factors to calculate the LCM of 76197 and 76208.

LCM(76197,76208) = 3¹ × 11¹ × 2309¹ × 2⁴ × 433¹
LCM(76197,76208) = 527892816