What is the Least Common Multiple of 4696 and 4705?

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 4696 and 4705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4696 and 4705, than apply into the LCM equation.

GCF(4696,4705) = 1
LCM(4696,4705) = ( 4696 × 4705) / 1
LCM(4696,4705) = 22094680 / 1
LCM(4696,4705) = 22094680

Least Common Multiple (LCM) of 4696 and 4705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4696 and 4705. First we will calculate the prime factors of 4696 and 4705.

Prime Factorization of 4696

Prime Factorization of 4705

Now multiplying the highest exponent prime factors to calculate the LCM of 4696 and 4705.

LCM(4696,4705) = 2³ × 587¹ × 5¹ × 941¹
LCM(4696,4705) = 22094680