What is the Least Common Multiple of 99229 and 99242?

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 99229 and 99242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99229 and 99242, than apply into the LCM equation.

GCF(99229,99242) = 13
LCM(99229,99242) = ( 99229 × 99242) / 13
LCM(99229,99242) = 9847684418 / 13
LCM(99229,99242) = 757514186

Least Common Multiple (LCM) of 99229 and 99242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99229 and 99242. First we will calculate the prime factors of 99229 and 99242.

Prime Factorization of 99229

Prime Factorization of 99242

Now multiplying the highest exponent prime factors to calculate the LCM of 99229 and 99242.

LCM(99229,99242) = 13¹ × 17¹ × 449¹ × 2¹ × 11¹ × 347¹
LCM(99229,99242) = 757514186