What is the Least Common Multiple of 73774 and 73792?

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 73792 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 73792, than apply into the LCM equation.

GCF(73774,73792) = 2
LCM(73774,73792) = ( 73774 × 73792) / 2
LCM(73774,73792) = 5443931008 / 2
LCM(73774,73792) = 2721965504

Least Common Multiple (LCM) of 73774 and 73792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73774 and 73792. First we will calculate the prime factors of 73774 and 73792.

Prime Factorization of 73774

Prime Factorization of 73792

Now multiplying the highest exponent prime factors to calculate the LCM of 73774 and 73792.

LCM(73774,73792) = 2⁶ × 36887¹ × 1153¹
LCM(73774,73792) = 2721965504