What is the Least Common Multiple of 6354 and 6374?

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 6354 and 6374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6354 and 6374, than apply into the LCM equation.

GCF(6354,6374) = 2
LCM(6354,6374) = ( 6354 × 6374) / 2
LCM(6354,6374) = 40500396 / 2
LCM(6354,6374) = 20250198

Least Common Multiple (LCM) of 6354 and 6374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6354 and 6374. First we will calculate the prime factors of 6354 and 6374.

Prime Factorization of 6354

Prime Factorization of 6374

Now multiplying the highest exponent prime factors to calculate the LCM of 6354 and 6374.

LCM(6354,6374) = 2¹ × 3² × 353¹ × 3187¹
LCM(6354,6374) = 20250198