What is the Least Common Multiple of 64344 and 64354?

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 64344 and 64354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64344 and 64354, than apply into the LCM equation.

GCF(64344,64354) = 2
LCM(64344,64354) = ( 64344 × 64354) / 2
LCM(64344,64354) = 4140793776 / 2
LCM(64344,64354) = 2070396888

Least Common Multiple (LCM) of 64344 and 64354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64344 and 64354. First we will calculate the prime factors of 64344 and 64354.

Prime Factorization of 64344

Prime Factorization of 64354

Now multiplying the highest exponent prime factors to calculate the LCM of 64344 and 64354.

LCM(64344,64354) = 2³ × 3¹ × 7¹ × 383¹ × 23¹ × 1399¹
LCM(64344,64354) = 2070396888