What is the Least Common Multiple of 78186 and 78192?

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 78186 and 78192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78186 and 78192, than apply into the LCM equation.

GCF(78186,78192) = 6
LCM(78186,78192) = ( 78186 × 78192) / 6
LCM(78186,78192) = 6113519712 / 6
LCM(78186,78192) = 1018919952

Least Common Multiple (LCM) of 78186 and 78192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78186 and 78192. First we will calculate the prime factors of 78186 and 78192.

Prime Factorization of 78186

Prime Factorization of 78192

Now multiplying the highest exponent prime factors to calculate the LCM of 78186 and 78192.

LCM(78186,78192) = 2⁴ × 3³ × 83¹ × 157¹ × 181¹
LCM(78186,78192) = 1018919952