What is the Least Common Multiple of 44780 and 44792?

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 44780 and 44792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44780 and 44792, than apply into the LCM equation.

GCF(44780,44792) = 4
LCM(44780,44792) = ( 44780 × 44792) / 4
LCM(44780,44792) = 2005785760 / 4
LCM(44780,44792) = 501446440

Least Common Multiple (LCM) of 44780 and 44792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44780 and 44792. First we will calculate the prime factors of 44780 and 44792.

Prime Factorization of 44780

Prime Factorization of 44792

Now multiplying the highest exponent prime factors to calculate the LCM of 44780 and 44792.

LCM(44780,44792) = 2³ × 5¹ × 2239¹ × 11¹ × 509¹
LCM(44780,44792) = 501446440