What is the Least Common Multiple of 86854 and 86874?

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 86854 and 86874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86854 and 86874, than apply into the LCM equation.

GCF(86854,86874) = 2
LCM(86854,86874) = ( 86854 × 86874) / 2
LCM(86854,86874) = 7545354396 / 2
LCM(86854,86874) = 3772677198

Least Common Multiple (LCM) of 86854 and 86874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86854 and 86874. First we will calculate the prime factors of 86854 and 86874.

Prime Factorization of 86854

Prime Factorization of 86874

Now multiplying the highest exponent prime factors to calculate the LCM of 86854 and 86874.

LCM(86854,86874) = 2¹ × 43427¹ × 3¹ × 14479¹
LCM(86854,86874) = 3772677198