What is the Least Common Multiple of 79782 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 79782 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 79782 and 79797, than apply into the LCM equation.

GCF(79782,79797) = 3
LCM(79782,79797) = ( 79782 × 79797) / 3
LCM(79782,79797) = 6366364254 / 3
LCM(79782,79797) = 2122121418

Least Common Multiple (LCM) of 79782 and 79797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79782 and 79797. First we will calculate the prime factors of 79782 and 79797.

Prime Factorization of 79782

Prime Factorization of 79797

Now multiplying the highest exponent prime factors to calculate the LCM of 79782 and 79797.

LCM(79782,79797) = 2¹ × 3¹ × 13297¹ × 67¹ × 397¹
LCM(79782,79797) = 2122121418