What is the Least Common Multiple of 79814 and 79833?

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 79814 and 79833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79814 and 79833, than apply into the LCM equation.

GCF(79814,79833) = 1
LCM(79814,79833) = ( 79814 × 79833) / 1
LCM(79814,79833) = 6371791062 / 1
LCM(79814,79833) = 6371791062

Least Common Multiple (LCM) of 79814 and 79833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79814 and 79833. First we will calculate the prime factors of 79814 and 79833.

Prime Factorization of 79814

Prime Factorization of 79833

Now multiplying the highest exponent prime factors to calculate the LCM of 79814 and 79833.

LCM(79814,79833) = 2¹ × 7¹ × 5701¹ × 3¹ × 13¹ × 23¹ × 89¹
LCM(79814,79833) = 6371791062