What is the Least Common Multiple of 29712 and 29720?

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 29712 and 29720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29712 and 29720, than apply into the LCM equation.

GCF(29712,29720) = 8
LCM(29712,29720) = ( 29712 × 29720) / 8
LCM(29712,29720) = 883040640 / 8
LCM(29712,29720) = 110380080

Least Common Multiple (LCM) of 29712 and 29720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29712 and 29720. First we will calculate the prime factors of 29712 and 29720.

Prime Factorization of 29712

Prime Factorization of 29720

Now multiplying the highest exponent prime factors to calculate the LCM of 29712 and 29720.

LCM(29712,29720) = 2⁴ × 3¹ × 619¹ × 5¹ × 743¹
LCM(29712,29720) = 110380080