What is the Least Common Multiple of 4705 and 4712?

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 4705 and 4712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4705 and 4712, than apply into the LCM equation.

GCF(4705,4712) = 1
LCM(4705,4712) = ( 4705 × 4712) / 1
LCM(4705,4712) = 22169960 / 1
LCM(4705,4712) = 22169960

Least Common Multiple (LCM) of 4705 and 4712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4705 and 4712. First we will calculate the prime factors of 4705 and 4712.

Prime Factorization of 4705

Prime Factorization of 4712

Now multiplying the highest exponent prime factors to calculate the LCM of 4705 and 4712.

LCM(4705,4712) = 5¹ × 941¹ × 2³ × 19¹ × 31¹
LCM(4705,4712) = 22169960