What is the Least Common Multiple of 79784 and 79797?

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 79784 and 79797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79784 and 79797, than apply into the LCM equation.

GCF(79784,79797) = 1
LCM(79784,79797) = ( 79784 × 79797) / 1
LCM(79784,79797) = 6366523848 / 1
LCM(79784,79797) = 6366523848

Least Common Multiple (LCM) of 79784 and 79797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79784 and 79797. First we will calculate the prime factors of 79784 and 79797.

Prime Factorization of 79784

Prime Factorization of 79797

Now multiplying the highest exponent prime factors to calculate the LCM of 79784 and 79797.

LCM(79784,79797) = 2³ × 9973¹ × 3¹ × 67¹ × 397¹
LCM(79784,79797) = 6366523848