What is the Least Common Multiple of 34368 and 34376?

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 34368 and 34376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34368 and 34376, than apply into the LCM equation.

GCF(34368,34376) = 8
LCM(34368,34376) = ( 34368 × 34376) / 8
LCM(34368,34376) = 1181434368 / 8
LCM(34368,34376) = 147679296

Least Common Multiple (LCM) of 34368 and 34376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34368 and 34376. First we will calculate the prime factors of 34368 and 34376.

Prime Factorization of 34368

Prime Factorization of 34376

Now multiplying the highest exponent prime factors to calculate the LCM of 34368 and 34376.

LCM(34368,34376) = 2⁶ × 3¹ × 179¹ × 4297¹
LCM(34368,34376) = 147679296