What is the Least Common Multiple of 95519 and 95537?

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 95519 and 95537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95519 and 95537, than apply into the LCM equation.

GCF(95519,95537) = 1
LCM(95519,95537) = ( 95519 × 95537) / 1
LCM(95519,95537) = 9125598703 / 1
LCM(95519,95537) = 9125598703

Least Common Multiple (LCM) of 95519 and 95537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95519 and 95537. First we will calculate the prime factors of 95519 and 95537.

Prime Factorization of 95519

Prime Factorization of 95537

Now multiplying the highest exponent prime factors to calculate the LCM of 95519 and 95537.

LCM(95519,95537) = 23¹ × 4153¹ × 13¹ × 7349¹
LCM(95519,95537) = 9125598703