What is the Least Common Multiple of 95802 and 95822?

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 95802 and 95822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95802 and 95822, than apply into the LCM equation.

GCF(95802,95822) = 2
LCM(95802,95822) = ( 95802 × 95822) / 2
LCM(95802,95822) = 9179939244 / 2
LCM(95802,95822) = 4589969622

Least Common Multiple (LCM) of 95802 and 95822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95802 and 95822. First we will calculate the prime factors of 95802 and 95822.

Prime Factorization of 95802

Prime Factorization of 95822

Now multiplying the highest exponent prime factors to calculate the LCM of 95802 and 95822.

LCM(95802,95822) = 2¹ × 3¹ × 7¹ × 2281¹ × 47911¹
LCM(95802,95822) = 4589969622