What is the Least Common Multiple of 68054 and 68066?

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 68054 and 68066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68054 and 68066, than apply into the LCM equation.

GCF(68054,68066) = 2
LCM(68054,68066) = ( 68054 × 68066) / 2
LCM(68054,68066) = 4632163564 / 2
LCM(68054,68066) = 2316081782

Least Common Multiple (LCM) of 68054 and 68066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68054 and 68066. First we will calculate the prime factors of 68054 and 68066.

Prime Factorization of 68054

Prime Factorization of 68066

Now multiplying the highest exponent prime factors to calculate the LCM of 68054 and 68066.

LCM(68054,68066) = 2¹ × 7¹ × 4861¹ × 34033¹
LCM(68054,68066) = 2316081782