What is the Least Common Multiple of 95505 and 95520?

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 95505 and 95520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95505 and 95520, than apply into the LCM equation.

GCF(95505,95520) = 15
LCM(95505,95520) = ( 95505 × 95520) / 15
LCM(95505,95520) = 9122637600 / 15
LCM(95505,95520) = 608175840

Least Common Multiple (LCM) of 95505 and 95520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95505 and 95520. First we will calculate the prime factors of 95505 and 95520.

Prime Factorization of 95505

Prime Factorization of 95520

Now multiplying the highest exponent prime factors to calculate the LCM of 95505 and 95520.

LCM(95505,95520) = 3¹ × 5¹ × 6367¹ × 2⁵ × 199¹
LCM(95505,95520) = 608175840