What is the Least Common Multiple of 79362 and 79382?

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 79362 and 79382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79362 and 79382, than apply into the LCM equation.

GCF(79362,79382) = 2
LCM(79362,79382) = ( 79362 × 79382) / 2
LCM(79362,79382) = 6299914284 / 2
LCM(79362,79382) = 3149957142

Least Common Multiple (LCM) of 79362 and 79382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79362 and 79382. First we will calculate the prime factors of 79362 and 79382.

Prime Factorization of 79362

Prime Factorization of 79382

Now multiplying the highest exponent prime factors to calculate the LCM of 79362 and 79382.

LCM(79362,79382) = 2¹ × 3² × 4409¹ × 19¹ × 2089¹
LCM(79362,79382) = 3149957142