What is the Least Common Multiple of 99656 and 99672?

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 99656 and 99672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99656 and 99672, than apply into the LCM equation.

GCF(99656,99672) = 8
LCM(99656,99672) = ( 99656 × 99672) / 8
LCM(99656,99672) = 9932912832 / 8
LCM(99656,99672) = 1241614104

Least Common Multiple (LCM) of 99656 and 99672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99656 and 99672. First we will calculate the prime factors of 99656 and 99672.

Prime Factorization of 99656

Prime Factorization of 99672

Now multiplying the highest exponent prime factors to calculate the LCM of 99656 and 99672.

LCM(99656,99672) = 2³ × 12457¹ × 3¹ × 4153¹
LCM(99656,99672) = 1241614104