What is the Least Common Multiple of 78085 and 78102?

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 78085 and 78102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78085 and 78102, than apply into the LCM equation.

GCF(78085,78102) = 1
LCM(78085,78102) = ( 78085 × 78102) / 1
LCM(78085,78102) = 6098594670 / 1
LCM(78085,78102) = 6098594670

Least Common Multiple (LCM) of 78085 and 78102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78085 and 78102. First we will calculate the prime factors of 78085 and 78102.

Prime Factorization of 78085

Prime Factorization of 78102

Now multiplying the highest exponent prime factors to calculate the LCM of 78085 and 78102.

LCM(78085,78102) = 5¹ × 7¹ × 23¹ × 97¹ × 2¹ × 3² × 4339¹
LCM(78085,78102) = 6098594670