What is the Least Common Multiple of 95402 and 95414?

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 95402 and 95414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95402 and 95414, than apply into the LCM equation.

GCF(95402,95414) = 2
LCM(95402,95414) = ( 95402 × 95414) / 2
LCM(95402,95414) = 9102686428 / 2
LCM(95402,95414) = 4551343214

Least Common Multiple (LCM) of 95402 and 95414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95402 and 95414. First we will calculate the prime factors of 95402 and 95414.

Prime Factorization of 95402

Prime Factorization of 95414

Now multiplying the highest exponent prime factors to calculate the LCM of 95402 and 95414.

LCM(95402,95414) = 2¹ × 47701¹ × 11¹ × 4337¹
LCM(95402,95414) = 4551343214