What is the Least Common Multiple of 95904 and 95920?

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 95904 and 95920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95904 and 95920, than apply into the LCM equation.

GCF(95904,95920) = 16
LCM(95904,95920) = ( 95904 × 95920) / 16
LCM(95904,95920) = 9199111680 / 16
LCM(95904,95920) = 574944480

Least Common Multiple (LCM) of 95904 and 95920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95904 and 95920. First we will calculate the prime factors of 95904 and 95920.

Prime Factorization of 95904

Prime Factorization of 95920

Now multiplying the highest exponent prime factors to calculate the LCM of 95904 and 95920.

LCM(95904,95920) = 2⁵ × 3⁴ × 37¹ × 5¹ × 11¹ × 109¹
LCM(95904,95920) = 574944480