What is the Least Common Multiple of 86538 and 86546?

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 86538 and 86546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86538 and 86546, than apply into the LCM equation.

GCF(86538,86546) = 2
LCM(86538,86546) = ( 86538 × 86546) / 2
LCM(86538,86546) = 7489517748 / 2
LCM(86538,86546) = 3744758874

Least Common Multiple (LCM) of 86538 and 86546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86538 and 86546. First we will calculate the prime factors of 86538 and 86546.

Prime Factorization of 86538

Prime Factorization of 86546

Now multiplying the highest exponent prime factors to calculate the LCM of 86538 and 86546.

LCM(86538,86546) = 2¹ × 3¹ × 14423¹ × 109¹ × 397¹
LCM(86538,86546) = 3744758874