What is the Least Common Multiple of 95520 and 95535?

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 95520 and 95535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95520 and 95535, than apply into the LCM equation.

GCF(95520,95535) = 15
LCM(95520,95535) = ( 95520 × 95535) / 15
LCM(95520,95535) = 9125503200 / 15
LCM(95520,95535) = 608366880

Least Common Multiple (LCM) of 95520 and 95535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95520 and 95535. First we will calculate the prime factors of 95520 and 95535.

Prime Factorization of 95520

Prime Factorization of 95535

Now multiplying the highest exponent prime factors to calculate the LCM of 95520 and 95535.

LCM(95520,95535) = 2⁵ × 3² × 5¹ × 199¹ × 11¹ × 193¹
LCM(95520,95535) = 608366880