What is the Least Common Multiple of 45676 and 45696?

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 45676 and 45696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45676 and 45696, than apply into the LCM equation.

GCF(45676,45696) = 4
LCM(45676,45696) = ( 45676 × 45696) / 4
LCM(45676,45696) = 2087210496 / 4
LCM(45676,45696) = 521802624

Least Common Multiple (LCM) of 45676 and 45696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45676 and 45696. First we will calculate the prime factors of 45676 and 45696.

Prime Factorization of 45676

Prime Factorization of 45696

Now multiplying the highest exponent prime factors to calculate the LCM of 45676 and 45696.

LCM(45676,45696) = 2⁷ × 19¹ × 601¹ × 3¹ × 7¹ × 17¹
LCM(45676,45696) = 521802624