What is the Least Common Multiple of 73774 and 73793?

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 73774 and 73793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73774 and 73793, than apply into the LCM equation.

GCF(73774,73793) = 1
LCM(73774,73793) = ( 73774 × 73793) / 1
LCM(73774,73793) = 5444004782 / 1
LCM(73774,73793) = 5444004782

Least Common Multiple (LCM) of 73774 and 73793 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73774 and 73793. First we will calculate the prime factors of 73774 and 73793.

Prime Factorization of 73774

Prime Factorization of 73793

Now multiplying the highest exponent prime factors to calculate the LCM of 73774 and 73793.

LCM(73774,73793) = 2¹ × 36887¹ × 109¹ × 677¹
LCM(73774,73793) = 5444004782