What is the Least Common Multiple of 78148 and 78163?

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 78148 and 78163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78148 and 78163, than apply into the LCM equation.

GCF(78148,78163) = 1
LCM(78148,78163) = ( 78148 × 78163) / 1
LCM(78148,78163) = 6108282124 / 1
LCM(78148,78163) = 6108282124

Least Common Multiple (LCM) of 78148 and 78163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78148 and 78163. First we will calculate the prime factors of 78148 and 78163.

Prime Factorization of 78148

Prime Factorization of 78163

Now multiplying the highest exponent prime factors to calculate the LCM of 78148 and 78163.

LCM(78148,78163) = 2² × 7¹ × 2791¹ × 78163¹
LCM(78148,78163) = 6108282124