What is the Least Common Multiple of 99148 and 99154?

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 99148 and 99154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99148 and 99154, than apply into the LCM equation.

GCF(99148,99154) = 2
LCM(99148,99154) = ( 99148 × 99154) / 2
LCM(99148,99154) = 9830920792 / 2
LCM(99148,99154) = 4915460396

Least Common Multiple (LCM) of 99148 and 99154 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99148 and 99154. First we will calculate the prime factors of 99148 and 99154.

Prime Factorization of 99148

Prime Factorization of 99154

Now multiplying the highest exponent prime factors to calculate the LCM of 99148 and 99154.

LCM(99148,99154) = 2² × 7¹ × 3541¹ × 11¹ × 4507¹
LCM(99148,99154) = 4915460396