What is the Least Common Multiple of 95520 and 95533?

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 95533 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 95533, than apply into the LCM equation.

GCF(95520,95533) = 1
LCM(95520,95533) = ( 95520 × 95533) / 1
LCM(95520,95533) = 9125312160 / 1
LCM(95520,95533) = 9125312160

Least Common Multiple (LCM) of 95520 and 95533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95520 and 95533. First we will calculate the prime factors of 95520 and 95533.

Prime Factorization of 95520

Prime Factorization of 95533

Now multiplying the highest exponent prime factors to calculate the LCM of 95520 and 95533.

LCM(95520,95533) = 2⁵ × 3¹ × 5¹ × 199¹ × 83¹ × 1151¹
LCM(95520,95533) = 9125312160