What is the Least Common Multiple of 99650 and 99654?

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 99650 and 99654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99650 and 99654, than apply into the LCM equation.

GCF(99650,99654) = 2
LCM(99650,99654) = ( 99650 × 99654) / 2
LCM(99650,99654) = 9930521100 / 2
LCM(99650,99654) = 4965260550

Least Common Multiple (LCM) of 99650 and 99654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99650 and 99654. First we will calculate the prime factors of 99650 and 99654.

Prime Factorization of 99650

Prime Factorization of 99654

Now multiplying the highest exponent prime factors to calculate the LCM of 99650 and 99654.

LCM(99650,99654) = 2¹ × 5² × 1993¹ × 3¹ × 17¹ × 977¹
LCM(99650,99654) = 4965260550