What is the Least Common Multiple of 96538 and 96550?

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 96538 and 96550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96538 and 96550, than apply into the LCM equation.

GCF(96538,96550) = 2
LCM(96538,96550) = ( 96538 × 96550) / 2
LCM(96538,96550) = 9320743900 / 2
LCM(96538,96550) = 4660371950

Least Common Multiple (LCM) of 96538 and 96550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96538 and 96550. First we will calculate the prime factors of 96538 and 96550.

Prime Factorization of 96538

Prime Factorization of 96550

Now multiplying the highest exponent prime factors to calculate the LCM of 96538 and 96550.

LCM(96538,96550) = 2¹ × 13¹ × 47¹ × 79¹ × 5² × 1931¹
LCM(96538,96550) = 4660371950