What is the Least Common Multiple of 79465 and 79484?

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 79465 and 79484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79465 and 79484, than apply into the LCM equation.

GCF(79465,79484) = 1
LCM(79465,79484) = ( 79465 × 79484) / 1
LCM(79465,79484) = 6316196060 / 1
LCM(79465,79484) = 6316196060

Least Common Multiple (LCM) of 79465 and 79484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79465 and 79484. First we will calculate the prime factors of 79465 and 79484.

Prime Factorization of 79465

Prime Factorization of 79484

Now multiplying the highest exponent prime factors to calculate the LCM of 79465 and 79484.

LCM(79465,79484) = 5¹ × 23¹ × 691¹ × 2² × 31¹ × 641¹
LCM(79465,79484) = 6316196060