What is the Least Common Multiple of 95820 and 95834?

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 95820 and 95834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95820 and 95834, than apply into the LCM equation.

GCF(95820,95834) = 2
LCM(95820,95834) = ( 95820 × 95834) / 2
LCM(95820,95834) = 9182813880 / 2
LCM(95820,95834) = 4591406940

Least Common Multiple (LCM) of 95820 and 95834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95820 and 95834. First we will calculate the prime factors of 95820 and 95834.

Prime Factorization of 95820

Prime Factorization of 95834

Now multiplying the highest exponent prime factors to calculate the LCM of 95820 and 95834.

LCM(95820,95834) = 2² × 3¹ × 5¹ × 1597¹ × 47917¹
LCM(95820,95834) = 4591406940