What is the Least Common Multiple of 9354 and 9374?

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 9354 and 9374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9354 and 9374, than apply into the LCM equation.

GCF(9354,9374) = 2
LCM(9354,9374) = ( 9354 × 9374) / 2
LCM(9354,9374) = 87684396 / 2
LCM(9354,9374) = 43842198

Least Common Multiple (LCM) of 9354 and 9374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9354 and 9374. First we will calculate the prime factors of 9354 and 9374.

Prime Factorization of 9354

Prime Factorization of 9374

Now multiplying the highest exponent prime factors to calculate the LCM of 9354 and 9374.

LCM(9354,9374) = 2¹ × 3¹ × 1559¹ × 43¹ × 109¹
LCM(9354,9374) = 43842198