What is the Least Common Multiple of 8355 and 8374?

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 8355 and 8374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8355 and 8374, than apply into the LCM equation.

GCF(8355,8374) = 1
LCM(8355,8374) = ( 8355 × 8374) / 1
LCM(8355,8374) = 69964770 / 1
LCM(8355,8374) = 69964770

Least Common Multiple (LCM) of 8355 and 8374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8355 and 8374. First we will calculate the prime factors of 8355 and 8374.

Prime Factorization of 8355

Prime Factorization of 8374

Now multiplying the highest exponent prime factors to calculate the LCM of 8355 and 8374.

LCM(8355,8374) = 3¹ × 5¹ × 557¹ × 2¹ × 53¹ × 79¹
LCM(8355,8374) = 69964770