What is the Least Common Multiple of 95645 and 95661?

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 95645 and 95661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95645 and 95661, than apply into the LCM equation.

GCF(95645,95661) = 1
LCM(95645,95661) = ( 95645 × 95661) / 1
LCM(95645,95661) = 9149496345 / 1
LCM(95645,95661) = 9149496345

Least Common Multiple (LCM) of 95645 and 95661 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95645 and 95661. First we will calculate the prime factors of 95645 and 95661.

Prime Factorization of 95645

Prime Factorization of 95661

Now multiplying the highest exponent prime factors to calculate the LCM of 95645 and 95661.

LCM(95645,95661) = 5¹ × 11¹ × 37¹ × 47¹ × 3⁴ × 1181¹
LCM(95645,95661) = 9149496345