What is the Least Common Multiple of 79914 and 79920?

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 79914 and 79920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79914 and 79920, than apply into the LCM equation.

GCF(79914,79920) = 6
LCM(79914,79920) = ( 79914 × 79920) / 6
LCM(79914,79920) = 6386726880 / 6
LCM(79914,79920) = 1064454480

Least Common Multiple (LCM) of 79914 and 79920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79914 and 79920. First we will calculate the prime factors of 79914 and 79920.

Prime Factorization of 79914

Prime Factorization of 79920

Now multiplying the highest exponent prime factors to calculate the LCM of 79914 and 79920.

LCM(79914,79920) = 2⁴ × 3³ × 19¹ × 701¹ × 5¹ × 37¹
LCM(79914,79920) = 1064454480