What is the Least Common Multiple of 76185 and 76205?

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 76185 and 76205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76185 and 76205, than apply into the LCM equation.

GCF(76185,76205) = 5
LCM(76185,76205) = ( 76185 × 76205) / 5
LCM(76185,76205) = 5805677925 / 5
LCM(76185,76205) = 1161135585

Least Common Multiple (LCM) of 76185 and 76205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76185 and 76205. First we will calculate the prime factors of 76185 and 76205.

Prime Factorization of 76185

Prime Factorization of 76205

Now multiplying the highest exponent prime factors to calculate the LCM of 76185 and 76205.

LCM(76185,76205) = 3² × 5¹ × 1693¹ × 15241¹
LCM(76185,76205) = 1161135585