What is the Least Common Multiple of 81054 and 81074?

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 81054 and 81074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81054 and 81074, than apply into the LCM equation.

GCF(81054,81074) = 2
LCM(81054,81074) = ( 81054 × 81074) / 2
LCM(81054,81074) = 6571371996 / 2
LCM(81054,81074) = 3285685998

Least Common Multiple (LCM) of 81054 and 81074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81054 and 81074. First we will calculate the prime factors of 81054 and 81074.

Prime Factorization of 81054

Prime Factorization of 81074

Now multiplying the highest exponent prime factors to calculate the LCM of 81054 and 81074.

LCM(81054,81074) = 2¹ × 3³ × 19¹ × 79¹ × 7¹ × 5791¹
LCM(81054,81074) = 3285685998