What is the Least Common Multiple of 95520 and 95524?

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 95524 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 95524, than apply into the LCM equation.

GCF(95520,95524) = 4
LCM(95520,95524) = ( 95520 × 95524) / 4
LCM(95520,95524) = 9124452480 / 4
LCM(95520,95524) = 2281113120

Least Common Multiple (LCM) of 95520 and 95524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95520 and 95524. First we will calculate the prime factors of 95520 and 95524.

Prime Factorization of 95520

Prime Factorization of 95524

Now multiplying the highest exponent prime factors to calculate the LCM of 95520 and 95524.

LCM(95520,95524) = 2⁵ × 3¹ × 5¹ × 199¹ × 11¹ × 13¹ × 167¹
LCM(95520,95524) = 2281113120