What is the Least Common Multiple of 86368 and 86374?

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 86368 and 86374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86368 and 86374, than apply into the LCM equation.

GCF(86368,86374) = 2
LCM(86368,86374) = ( 86368 × 86374) / 2
LCM(86368,86374) = 7459949632 / 2
LCM(86368,86374) = 3729974816

Least Common Multiple (LCM) of 86368 and 86374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86368 and 86374. First we will calculate the prime factors of 86368 and 86374.

Prime Factorization of 86368

Prime Factorization of 86374

Now multiplying the highest exponent prime factors to calculate the LCM of 86368 and 86374.

LCM(86368,86374) = 2⁵ × 2699¹ × 19¹ × 2273¹
LCM(86368,86374) = 3729974816