What is the Least Common Multiple of 79744 and 79753?

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 79744 and 79753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79744 and 79753, than apply into the LCM equation.

GCF(79744,79753) = 1
LCM(79744,79753) = ( 79744 × 79753) / 1
LCM(79744,79753) = 6359823232 / 1
LCM(79744,79753) = 6359823232

Least Common Multiple (LCM) of 79744 and 79753 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79744 and 79753. First we will calculate the prime factors of 79744 and 79753.

Prime Factorization of 79744

Prime Factorization of 79753

Now multiplying the highest exponent prime factors to calculate the LCM of 79744 and 79753.

LCM(79744,79753) = 2⁷ × 7¹ × 89¹ × 173¹ × 461¹
LCM(79744,79753) = 6359823232