What is the Least Common Multiple of 99455 and 99475?

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 99455 and 99475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99455 and 99475, than apply into the LCM equation.

GCF(99455,99475) = 5
LCM(99455,99475) = ( 99455 × 99475) / 5
LCM(99455,99475) = 9893286125 / 5
LCM(99455,99475) = 1978657225

Least Common Multiple (LCM) of 99455 and 99475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99455 and 99475. First we will calculate the prime factors of 99455 and 99475.

Prime Factorization of 99455

Prime Factorization of 99475

Now multiplying the highest exponent prime factors to calculate the LCM of 99455 and 99475.

LCM(99455,99475) = 5² × 19891¹ × 23¹ × 173¹
LCM(99455,99475) = 1978657225