What is the Least Common Multiple of 79730 and 79744?

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 79730 and 79744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79730 and 79744, than apply into the LCM equation.

GCF(79730,79744) = 14
LCM(79730,79744) = ( 79730 × 79744) / 14
LCM(79730,79744) = 6357989120 / 14
LCM(79730,79744) = 454142080

Least Common Multiple (LCM) of 79730 and 79744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79730 and 79744. First we will calculate the prime factors of 79730 and 79744.

Prime Factorization of 79730

Prime Factorization of 79744

Now multiplying the highest exponent prime factors to calculate the LCM of 79730 and 79744.

LCM(79730,79744) = 2⁷ × 5¹ × 7¹ × 17¹ × 67¹ × 89¹
LCM(79730,79744) = 454142080