What is the Least Common Multiple of 29705 and 29712?

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 29705 and 29712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29705 and 29712, than apply into the LCM equation.

GCF(29705,29712) = 1
LCM(29705,29712) = ( 29705 × 29712) / 1
LCM(29705,29712) = 882594960 / 1
LCM(29705,29712) = 882594960

Least Common Multiple (LCM) of 29705 and 29712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29705 and 29712. First we will calculate the prime factors of 29705 and 29712.

Prime Factorization of 29705

Prime Factorization of 29712

Now multiplying the highest exponent prime factors to calculate the LCM of 29705 and 29712.

LCM(29705,29712) = 5¹ × 13¹ × 457¹ × 2⁴ × 3¹ × 619¹
LCM(29705,29712) = 882594960