What is the Least Common Multiple of 4716 and 4736?

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 4716 and 4736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4716 and 4736, than apply into the LCM equation.

GCF(4716,4736) = 4
LCM(4716,4736) = ( 4716 × 4736) / 4
LCM(4716,4736) = 22334976 / 4
LCM(4716,4736) = 5583744

Least Common Multiple (LCM) of 4716 and 4736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4716 and 4736. First we will calculate the prime factors of 4716 and 4736.

Prime Factorization of 4716

Prime Factorization of 4736

Now multiplying the highest exponent prime factors to calculate the LCM of 4716 and 4736.

LCM(4716,4736) = 2⁷ × 3² × 131¹ × 37¹
LCM(4716,4736) = 5583744