What is the Least Common Multiple of 95548 and 95552?

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 95548 and 95552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95548 and 95552, than apply into the LCM equation.

GCF(95548,95552) = 4
LCM(95548,95552) = ( 95548 × 95552) / 4
LCM(95548,95552) = 9129802496 / 4
LCM(95548,95552) = 2282450624

Least Common Multiple (LCM) of 95548 and 95552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95548 and 95552. First we will calculate the prime factors of 95548 and 95552.

Prime Factorization of 95548

Prime Factorization of 95552

Now multiplying the highest exponent prime factors to calculate the LCM of 95548 and 95552.

LCM(95548,95552) = 2⁶ × 23887¹ × 1493¹
LCM(95548,95552) = 2282450624