What is the Least Common Multiple of 79479 and 79495?

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 79479 and 79495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79479 and 79495, than apply into the LCM equation.

GCF(79479,79495) = 1
LCM(79479,79495) = ( 79479 × 79495) / 1
LCM(79479,79495) = 6318183105 / 1
LCM(79479,79495) = 6318183105

Least Common Multiple (LCM) of 79479 and 79495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79479 and 79495. First we will calculate the prime factors of 79479 and 79495.

Prime Factorization of 79479

Prime Factorization of 79495

Now multiplying the highest exponent prime factors to calculate the LCM of 79479 and 79495.

LCM(79479,79495) = 3² × 8831¹ × 5¹ × 13¹ × 1223¹
LCM(79479,79495) = 6318183105