What is the Least Common Multiple of 99695 and 99715?

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 99695 and 99715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99695 and 99715, than apply into the LCM equation.

GCF(99695,99715) = 5
LCM(99695,99715) = ( 99695 × 99715) / 5
LCM(99695,99715) = 9941086925 / 5
LCM(99695,99715) = 1988217385

Least Common Multiple (LCM) of 99695 and 99715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99695 and 99715. First we will calculate the prime factors of 99695 and 99715.

Prime Factorization of 99695

Prime Factorization of 99715

Now multiplying the highest exponent prime factors to calculate the LCM of 99695 and 99715.

LCM(99695,99715) = 5¹ × 127¹ × 157¹ × 7² × 11¹ × 37¹
LCM(99695,99715) = 1988217385