What is the Least Common Multiple of 73778 and 73794?

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 73778 and 73794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73778 and 73794, than apply into the LCM equation.

GCF(73778,73794) = 2
LCM(73778,73794) = ( 73778 × 73794) / 2
LCM(73778,73794) = 5444373732 / 2
LCM(73778,73794) = 2722186866

Least Common Multiple (LCM) of 73778 and 73794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73778 and 73794. First we will calculate the prime factors of 73778 and 73794.

Prime Factorization of 73778

Prime Factorization of 73794

Now multiplying the highest exponent prime factors to calculate the LCM of 73778 and 73794.

LCM(73778,73794) = 2¹ × 37¹ × 997¹ × 3¹ × 7² × 251¹
LCM(73778,73794) = 2722186866