What is the Least Common Multiple of 95692 and 95709?

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 95692 and 95709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95692 and 95709, than apply into the LCM equation.

GCF(95692,95709) = 1
LCM(95692,95709) = ( 95692 × 95709) / 1
LCM(95692,95709) = 9158585628 / 1
LCM(95692,95709) = 9158585628

Least Common Multiple (LCM) of 95692 and 95709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95692 and 95709. First we will calculate the prime factors of 95692 and 95709.

Prime Factorization of 95692

Prime Factorization of 95709

Now multiplying the highest exponent prime factors to calculate the LCM of 95692 and 95709.

LCM(95692,95709) = 2² × 47¹ × 509¹ × 3¹ × 61¹ × 523¹
LCM(95692,95709) = 9158585628