What is the Least Common Multiple of 99678 and 99698?

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 99678 and 99698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99678 and 99698, than apply into the LCM equation.

GCF(99678,99698) = 2
LCM(99678,99698) = ( 99678 × 99698) / 2
LCM(99678,99698) = 9937697244 / 2
LCM(99678,99698) = 4968848622

Least Common Multiple (LCM) of 99678 and 99698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99678 and 99698. First we will calculate the prime factors of 99678 and 99698.

Prime Factorization of 99678

Prime Factorization of 99698

Now multiplying the highest exponent prime factors to calculate the LCM of 99678 and 99698.

LCM(99678,99698) = 2¹ × 3¹ × 37¹ × 449¹ × 79¹ × 631¹
LCM(99678,99698) = 4968848622