What is the Least Common Multiple of 96478 and 96483?

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 96478 and 96483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96478 and 96483, than apply into the LCM equation.

GCF(96478,96483) = 1
LCM(96478,96483) = ( 96478 × 96483) / 1
LCM(96478,96483) = 9308486874 / 1
LCM(96478,96483) = 9308486874

Least Common Multiple (LCM) of 96478 and 96483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96478 and 96483. First we will calculate the prime factors of 96478 and 96483.

Prime Factorization of 96478

Prime Factorization of 96483

Now multiplying the highest exponent prime factors to calculate the LCM of 96478 and 96483.

LCM(96478,96483) = 2¹ × 48239¹ × 3¹ × 29¹ × 1109¹
LCM(96478,96483) = 9308486874