What is the Least Common Multiple of 78054 and 78074?

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 78054 and 78074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78054 and 78074, than apply into the LCM equation.

GCF(78054,78074) = 2
LCM(78054,78074) = ( 78054 × 78074) / 2
LCM(78054,78074) = 6093987996 / 2
LCM(78054,78074) = 3046993998

Least Common Multiple (LCM) of 78054 and 78074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78054 and 78074. First we will calculate the prime factors of 78054 and 78074.

Prime Factorization of 78054

Prime Factorization of 78074

Now multiplying the highest exponent prime factors to calculate the LCM of 78054 and 78074.

LCM(78054,78074) = 2¹ × 3¹ × 13009¹ × 103¹ × 379¹
LCM(78054,78074) = 3046993998