What is the Least Common Multiple of 29674 and 29680?

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 29674 and 29680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29674 and 29680, than apply into the LCM equation.

GCF(29674,29680) = 2
LCM(29674,29680) = ( 29674 × 29680) / 2
LCM(29674,29680) = 880724320 / 2
LCM(29674,29680) = 440362160

Least Common Multiple (LCM) of 29674 and 29680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29674 and 29680. First we will calculate the prime factors of 29674 and 29680.

Prime Factorization of 29674

Prime Factorization of 29680

Now multiplying the highest exponent prime factors to calculate the LCM of 29674 and 29680.

LCM(29674,29680) = 2⁴ × 37¹ × 401¹ × 5¹ × 7¹ × 53¹
LCM(29674,29680) = 440362160