What is the Least Common Multiple of 95214 and 95232?

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 95214 and 95232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95214 and 95232, than apply into the LCM equation.

GCF(95214,95232) = 6
LCM(95214,95232) = ( 95214 × 95232) / 6
LCM(95214,95232) = 9067419648 / 6
LCM(95214,95232) = 1511236608

Least Common Multiple (LCM) of 95214 and 95232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95214 and 95232. First we will calculate the prime factors of 95214 and 95232.

Prime Factorization of 95214

Prime Factorization of 95232

Now multiplying the highest exponent prime factors to calculate the LCM of 95214 and 95232.

LCM(95214,95232) = 2¹⁰ × 3¹ × 7¹ × 2267¹ × 31¹
LCM(95214,95232) = 1511236608