What is the Least Common Multiple of 86834 and 86848?

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 86834 and 86848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86834 and 86848, than apply into the LCM equation.

GCF(86834,86848) = 2
LCM(86834,86848) = ( 86834 × 86848) / 2
LCM(86834,86848) = 7541359232 / 2
LCM(86834,86848) = 3770679616

Least Common Multiple (LCM) of 86834 and 86848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86834 and 86848. First we will calculate the prime factors of 86834 and 86848.

Prime Factorization of 86834

Prime Factorization of 86848

Now multiplying the highest exponent prime factors to calculate the LCM of 86834 and 86848.

LCM(86834,86848) = 2⁶ × 11¹ × 3947¹ × 23¹ × 59¹
LCM(86834,86848) = 3770679616