What is the Least Common Multiple of 79282 and 79294?

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 79282 and 79294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79282 and 79294, than apply into the LCM equation.

GCF(79282,79294) = 2
LCM(79282,79294) = ( 79282 × 79294) / 2
LCM(79282,79294) = 6286586908 / 2
LCM(79282,79294) = 3143293454

Least Common Multiple (LCM) of 79282 and 79294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79282 and 79294. First we will calculate the prime factors of 79282 and 79294.

Prime Factorization of 79282

Prime Factorization of 79294

Now multiplying the highest exponent prime factors to calculate the LCM of 79282 and 79294.

LCM(79282,79294) = 2¹ × 7² × 809¹ × 41¹ × 967¹
LCM(79282,79294) = 3143293454