What is the Least Common Multiple of 78176 and 78188?

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 78176 and 78188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78176 and 78188, than apply into the LCM equation.

GCF(78176,78188) = 4
LCM(78176,78188) = ( 78176 × 78188) / 4
LCM(78176,78188) = 6112425088 / 4
LCM(78176,78188) = 1528106272

Least Common Multiple (LCM) of 78176 and 78188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78176 and 78188. First we will calculate the prime factors of 78176 and 78188.

Prime Factorization of 78176

Prime Factorization of 78188

Now multiplying the highest exponent prime factors to calculate the LCM of 78176 and 78188.

LCM(78176,78188) = 2⁵ × 7¹ × 349¹ × 11¹ × 1777¹
LCM(78176,78188) = 1528106272