What is the Least Common Multiple of 95414 and 95430?

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 95414 and 95430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95414 and 95430, than apply into the LCM equation.

GCF(95414,95430) = 2
LCM(95414,95430) = ( 95414 × 95430) / 2
LCM(95414,95430) = 9105358020 / 2
LCM(95414,95430) = 4552679010

Least Common Multiple (LCM) of 95414 and 95430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95414 and 95430. First we will calculate the prime factors of 95414 and 95430.

Prime Factorization of 95414

Prime Factorization of 95430

Now multiplying the highest exponent prime factors to calculate the LCM of 95414 and 95430.

LCM(95414,95430) = 2¹ × 11¹ × 4337¹ × 3¹ × 5¹ × 3181¹
LCM(95414,95430) = 4552679010