What is the Least Common Multiple of 95568 and 95574?

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 95568 and 95574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95568 and 95574, than apply into the LCM equation.

GCF(95568,95574) = 6
LCM(95568,95574) = ( 95568 × 95574) / 6
LCM(95568,95574) = 9133816032 / 6
LCM(95568,95574) = 1522302672

Least Common Multiple (LCM) of 95568 and 95574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95568 and 95574. First we will calculate the prime factors of 95568 and 95574.

Prime Factorization of 95568

Prime Factorization of 95574

Now multiplying the highest exponent prime factors to calculate the LCM of 95568 and 95574.

LCM(95568,95574) = 2⁴ × 3¹ × 11¹ × 181¹ × 17¹ × 937¹
LCM(95568,95574) = 1522302672