What is the Least Common Multiple of 78078 and 78092?

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 78078 and 78092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78078 and 78092, than apply into the LCM equation.

GCF(78078,78092) = 14
LCM(78078,78092) = ( 78078 × 78092) / 14
LCM(78078,78092) = 6097267176 / 14
LCM(78078,78092) = 435519084

Least Common Multiple (LCM) of 78078 and 78092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78078 and 78092. First we will calculate the prime factors of 78078 and 78092.

Prime Factorization of 78078

Prime Factorization of 78092

Now multiplying the highest exponent prime factors to calculate the LCM of 78078 and 78092.

LCM(78078,78092) = 2² × 3¹ × 7¹ × 11¹ × 13² × 2789¹
LCM(78078,78092) = 435519084