What is the Least Common Multiple of 32478 and 32486?

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 32478 and 32486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32478 and 32486, than apply into the LCM equation.

GCF(32478,32486) = 2
LCM(32478,32486) = ( 32478 × 32486) / 2
LCM(32478,32486) = 1055080308 / 2
LCM(32478,32486) = 527540154

Least Common Multiple (LCM) of 32478 and 32486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32478 and 32486. First we will calculate the prime factors of 32478 and 32486.

Prime Factorization of 32478

Prime Factorization of 32486

Now multiplying the highest exponent prime factors to calculate the LCM of 32478 and 32486.

LCM(32478,32486) = 2¹ × 3¹ × 5413¹ × 37¹ × 439¹
LCM(32478,32486) = 527540154