What is the Least Common Multiple of 79926 and 79935?

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 79926 and 79935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79926 and 79935, than apply into the LCM equation.

GCF(79926,79935) = 3
LCM(79926,79935) = ( 79926 × 79935) / 3
LCM(79926,79935) = 6388884810 / 3
LCM(79926,79935) = 2129628270

Least Common Multiple (LCM) of 79926 and 79935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79926 and 79935. First we will calculate the prime factors of 79926 and 79935.

Prime Factorization of 79926

Prime Factorization of 79935

Now multiplying the highest exponent prime factors to calculate the LCM of 79926 and 79935.

LCM(79926,79935) = 2¹ × 3¹ × 7¹ × 11¹ × 173¹ × 5¹ × 73²
LCM(79926,79935) = 2129628270