What is the Least Common Multiple of 79814 and 79830?

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 79830 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 79830, than apply into the LCM equation.

GCF(79814,79830) = 2
LCM(79814,79830) = ( 79814 × 79830) / 2
LCM(79814,79830) = 6371551620 / 2
LCM(79814,79830) = 3185775810

Least Common Multiple (LCM) of 79814 and 79830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79814 and 79830. First we will calculate the prime factors of 79814 and 79830.

Prime Factorization of 79814

Prime Factorization of 79830

Now multiplying the highest exponent prime factors to calculate the LCM of 79814 and 79830.

LCM(79814,79830) = 2¹ × 7¹ × 5701¹ × 3² × 5¹ × 887¹
LCM(79814,79830) = 3185775810