What is the Least Common Multiple of 79460 and 79465?

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 79460 and 79465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79460 and 79465, than apply into the LCM equation.

GCF(79460,79465) = 5
LCM(79460,79465) = ( 79460 × 79465) / 5
LCM(79460,79465) = 6314288900 / 5
LCM(79460,79465) = 1262857780

Least Common Multiple (LCM) of 79460 and 79465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79460 and 79465. First we will calculate the prime factors of 79460 and 79465.

Prime Factorization of 79460

Prime Factorization of 79465

Now multiplying the highest exponent prime factors to calculate the LCM of 79460 and 79465.

LCM(79460,79465) = 2² × 5¹ × 29¹ × 137¹ × 23¹ × 691¹
LCM(79460,79465) = 1262857780