What is the Least Common Multiple of 54156 and 54175?

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 54156 and 54175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54156 and 54175, than apply into the LCM equation.

GCF(54156,54175) = 1
LCM(54156,54175) = ( 54156 × 54175) / 1
LCM(54156,54175) = 2933901300 / 1
LCM(54156,54175) = 2933901300

Least Common Multiple (LCM) of 54156 and 54175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54156 and 54175. First we will calculate the prime factors of 54156 and 54175.

Prime Factorization of 54156

Prime Factorization of 54175

Now multiplying the highest exponent prime factors to calculate the LCM of 54156 and 54175.

LCM(54156,54175) = 2² × 3¹ × 4513¹ × 5² × 11¹ × 197¹
LCM(54156,54175) = 2933901300