What is the Least Common Multiple of 45816 and 45832?

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 45816 and 45832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45816 and 45832, than apply into the LCM equation.

GCF(45816,45832) = 8
LCM(45816,45832) = ( 45816 × 45832) / 8
LCM(45816,45832) = 2099838912 / 8
LCM(45816,45832) = 262479864

Least Common Multiple (LCM) of 45816 and 45832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45816 and 45832. First we will calculate the prime factors of 45816 and 45832.

Prime Factorization of 45816

Prime Factorization of 45832

Now multiplying the highest exponent prime factors to calculate the LCM of 45816 and 45832.

LCM(45816,45832) = 2³ × 3¹ × 23¹ × 83¹ × 17¹ × 337¹
LCM(45816,45832) = 262479864