What is the Least Common Multiple of 78102 and 78109?

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 78102 and 78109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78102 and 78109, than apply into the LCM equation.

GCF(78102,78109) = 1
LCM(78102,78109) = ( 78102 × 78109) / 1
LCM(78102,78109) = 6100469118 / 1
LCM(78102,78109) = 6100469118

Least Common Multiple (LCM) of 78102 and 78109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78102 and 78109. First we will calculate the prime factors of 78102 and 78109.

Prime Factorization of 78102

Prime Factorization of 78109

Now multiplying the highest exponent prime factors to calculate the LCM of 78102 and 78109.

LCM(78102,78109) = 2¹ × 3² × 4339¹ × 19¹ × 4111¹
LCM(78102,78109) = 6100469118