What is the Least Common Multiple of 78123 and 78131?

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 78123 and 78131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78123 and 78131, than apply into the LCM equation.

GCF(78123,78131) = 1
LCM(78123,78131) = ( 78123 × 78131) / 1
LCM(78123,78131) = 6103828113 / 1
LCM(78123,78131) = 6103828113

Least Common Multiple (LCM) of 78123 and 78131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78123 and 78131. First we will calculate the prime factors of 78123 and 78131.

Prime Factorization of 78123

Prime Factorization of 78131

Now multiplying the highest exponent prime factors to calculate the LCM of 78123 and 78131.

LCM(78123,78131) = 3¹ × 26041¹ × 23¹ × 43¹ × 79¹
LCM(78123,78131) = 6103828113