What is the Least Common Multiple of 79351 and 79365?

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 79351 and 79365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79351 and 79365, than apply into the LCM equation.

GCF(79351,79365) = 1
LCM(79351,79365) = ( 79351 × 79365) / 1
LCM(79351,79365) = 6297692115 / 1
LCM(79351,79365) = 6297692115

Least Common Multiple (LCM) of 79351 and 79365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79351 and 79365. First we will calculate the prime factors of 79351 and 79365.

Prime Factorization of 79351

Prime Factorization of 79365

Now multiplying the highest exponent prime factors to calculate the LCM of 79351 and 79365.

LCM(79351,79365) = 73¹ × 1087¹ × 3¹ × 5¹ × 11¹ × 13¹ × 37¹
LCM(79351,79365) = 6297692115