What is the Least Common Multiple of 29920 and 29927?

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 29920 and 29927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29920 and 29927, than apply into the LCM equation.

GCF(29920,29927) = 1
LCM(29920,29927) = ( 29920 × 29927) / 1
LCM(29920,29927) = 895415840 / 1
LCM(29920,29927) = 895415840

Least Common Multiple (LCM) of 29920 and 29927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29920 and 29927. First we will calculate the prime factors of 29920 and 29927.

Prime Factorization of 29920

Prime Factorization of 29927

Now multiplying the highest exponent prime factors to calculate the LCM of 29920 and 29927.

LCM(29920,29927) = 2⁵ × 5¹ × 11¹ × 17¹ × 29927¹
LCM(29920,29927) = 895415840