What is the Least Common Multiple of 95124 and 95133?

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 95124 and 95133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95124 and 95133, than apply into the LCM equation.

GCF(95124,95133) = 3
LCM(95124,95133) = ( 95124 × 95133) / 3
LCM(95124,95133) = 9049431492 / 3
LCM(95124,95133) = 3016477164

Least Common Multiple (LCM) of 95124 and 95133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95124 and 95133. First we will calculate the prime factors of 95124 and 95133.

Prime Factorization of 95124

Prime Factorization of 95133

Now multiplying the highest exponent prime factors to calculate the LCM of 95124 and 95133.

LCM(95124,95133) = 2² × 3¹ × 7927¹ × 19¹ × 1669¹
LCM(95124,95133) = 3016477164